This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=pdflatex 2008.9.1)  10 NOV 2009 18:09
entering extended mode
**homalg
(./homalg.tex
LaTeX2e <2003/12/01>
Babel <v3.8d> and hyphenation patterns for american, french, german, ngerman, b
ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e
stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis
h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur
kish, ukrainian, nohyphenation, loaded.
(/sw/share/texmf-dist/tex/latex/base/report.cls
Document Class: report 2004/02/16 v1.4f Standard LaTeX document class
(/sw/share/texmf-dist/tex/latex/base/size11.clo
File: size11.clo 2004/02/16 v1.4f Standard LaTeX file (size option)
)
\c@part=\count79
\c@chapter=\count80
\c@section=\count81
\c@subsection=\count82
\c@subsubsection=\count83
\c@paragraph=\count84
\c@subparagraph=\count85
\c@figure=\count86
\c@table=\count87
\abovecaptionskip=\skip41
\belowcaptionskip=\skip42
\bibindent=\dimen102
)
(/sw/share/texmf-dist/tex/latex/a4wide/a4wide.sty
Package: a4wide 1994/08/30

(/sw/share/texmf-dist/tex/latex/ntgclass/a4.sty
Package: a4 2004/04/15 v1.2g A4 based page layout
))
(/sw/share/texmf-dist/tex/latex/amsfonts/amssymb.sty
Package: amssymb 2002/01/22 v2.2d

(/sw/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 2001/10/25 v2.2f
\@emptytoks=\toks14
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 132.
))
(/sw/share/texmf-dist/tex/latex/base/inputenc.sty
Package: inputenc 2004/02/05 v1.0d Input encoding file

(/sw/share/texmf-dist/tex/latex/base/utf8.def
File: utf8.def 2004/02/09 v1.1b UTF-8 support for inputenc
Now handling font encoding OML ...
... no UTF-8 mapping file for font encoding OML
Now handling font encoding T1 ...
... processing UTF-8 mapping file for font encoding T1

(/sw/share/texmf-dist/tex/latex/base/t1enc.dfu
File: t1enc.dfu 2004/02/09 v1.1b UTF-8 support for inputenc
   defining Unicode char U+00A1 (decimal 161)
   defining Unicode char U+00A3 (decimal 163)
   defining Unicode char U+00AB (decimal 171)
   defining Unicode char U+00BB (decimal 187)
   defining Unicode char U+00BF (decimal 191)
   defining Unicode char U+00C0 (decimal 192)
   defining Unicode char U+00C1 (decimal 193)
   defining Unicode char U+00C2 (decimal 194)
   defining Unicode char U+00C3 (decimal 195)
   defining Unicode char U+00C4 (decimal 196)
   defining Unicode char U+00C5 (decimal 197)
   defining Unicode char U+00C6 (decimal 198)
   defining Unicode char U+00C7 (decimal 199)
   defining Unicode char U+00C8 (decimal 200)
   defining Unicode char U+00C9 (decimal 201)
   defining Unicode char U+00CA (decimal 202)
   defining Unicode char U+00CB (decimal 203)
   defining Unicode char U+00CC (decimal 204)
   defining Unicode char U+00CD (decimal 205)
   defining Unicode char U+00CE (decimal 206)
   defining Unicode char U+00CF (decimal 207)
   defining Unicode char U+00D0 (decimal 208)
   defining Unicode char U+00D1 (decimal 209)
   defining Unicode char U+00D2 (decimal 210)
   defining Unicode char U+00D3 (decimal 211)
   defining Unicode char U+00D4 (decimal 212)
   defining Unicode char U+00D5 (decimal 213)
   defining Unicode char U+00D6 (decimal 214)
   defining Unicode char U+00D8 (decimal 216)
   defining Unicode char U+00D9 (decimal 217)
   defining Unicode char U+00DA (decimal 218)
   defining Unicode char U+00DB (decimal 219)
   defining Unicode char U+00DC (decimal 220)
   defining Unicode char U+00DD (decimal 221)
   defining Unicode char U+00DE (decimal 222)
   defining Unicode char U+00DF (decimal 223)
   defining Unicode char U+00E0 (decimal 224)
   defining Unicode char U+00E1 (decimal 225)
   defining Unicode char U+00E2 (decimal 226)
   defining Unicode char U+00E3 (decimal 227)
   defining Unicode char U+00E4 (decimal 228)
   defining Unicode char U+00E5 (decimal 229)
   defining Unicode char U+00E6 (decimal 230)
   defining Unicode char U+00E7 (decimal 231)
   defining Unicode char U+00E8 (decimal 232)
   defining Unicode char U+00E9 (decimal 233)
   defining Unicode char U+00EA (decimal 234)
   defining Unicode char U+00EB (decimal 235)
   defining Unicode char U+00EC (decimal 236)
   defining Unicode char U+00ED (decimal 237)
   defining Unicode char U+00EE (decimal 238)
   defining Unicode char U+00EF (decimal 239)
   defining Unicode char U+00F0 (decimal 240)
   defining Unicode char U+00F1 (decimal 241)
   defining Unicode char U+00F2 (decimal 242)
   defining Unicode char U+00F3 (decimal 243)
   defining Unicode char U+00F4 (decimal 244)
   defining Unicode char U+00F5 (decimal 245)
   defining Unicode char U+00F6 (decimal 246)
   defining Unicode char U+00F8 (decimal 248)
   defining Unicode char U+00F9 (decimal 249)
   defining Unicode char U+00FA (decimal 250)
   defining Unicode char U+00FB (decimal 251)
   defining Unicode char U+00FC (decimal 252)
   defining Unicode char U+00FD (decimal 253)
   defining Unicode char U+00FE (decimal 254)
   defining Unicode char U+00FF (decimal 255)
   defining Unicode char U+0102 (decimal 258)
   defining Unicode char U+0103 (decimal 259)
   defining Unicode char U+0104 (decimal 260)
   defining Unicode char U+0105 (decimal 261)
   defining Unicode char U+0106 (decimal 262)
   defining Unicode char U+0107 (decimal 263)
   defining Unicode char U+010C (decimal 268)
   defining Unicode char U+010D (decimal 269)
   defining Unicode char U+010E (decimal 270)
   defining Unicode char U+010F (decimal 271)
   defining Unicode char U+0110 (decimal 272)
   defining Unicode char U+0111 (decimal 273)
   defining Unicode char U+0118 (decimal 280)
   defining Unicode char U+0119 (decimal 281)
   defining Unicode char U+011A (decimal 282)
   defining Unicode char U+011B (decimal 283)
   defining Unicode char U+011E (decimal 286)
   defining Unicode char U+011F (decimal 287)
   defining Unicode char U+0130 (decimal 304)
   defining Unicode char U+0131 (decimal 305)
   defining Unicode char U+0139 (decimal 313)
   defining Unicode char U+013A (decimal 314)
   defining Unicode char U+013D (decimal 317)
   defining Unicode char U+013E (decimal 318)
   defining Unicode char U+0141 (decimal 321)
   defining Unicode char U+0142 (decimal 322)
   defining Unicode char U+0143 (decimal 323)
   defining Unicode char U+0144 (decimal 324)
   defining Unicode char U+0147 (decimal 327)
   defining Unicode char U+0148 (decimal 328)
   defining Unicode char U+014A (decimal 330)
   defining Unicode char U+014B (decimal 331)
   defining Unicode char U+0150 (decimal 336)
   defining Unicode char U+0151 (decimal 337)
   defining Unicode char U+0152 (decimal 338)
   defining Unicode char U+0153 (decimal 339)
   defining Unicode char U+0154 (decimal 340)
   defining Unicode char U+0155 (decimal 341)
   defining Unicode char U+0158 (decimal 344)
   defining Unicode char U+0159 (decimal 345)
   defining Unicode char U+015A (decimal 346)
   defining Unicode char U+015B (decimal 347)
   defining Unicode char U+015E (decimal 350)
   defining Unicode char U+015F (decimal 351)
   defining Unicode char U+0160 (decimal 352)
   defining Unicode char U+0161 (decimal 353)
   defining Unicode char U+0162 (decimal 354)
   defining Unicode char U+0163 (decimal 355)
   defining Unicode char U+0164 (decimal 356)
   defining Unicode char U+0165 (decimal 357)
   defining Unicode char U+016E (decimal 366)
   defining Unicode char U+016F (decimal 367)
   defining Unicode char U+0170 (decimal 368)
   defining Unicode char U+0171 (decimal 369)
   defining Unicode char U+0178 (decimal 376)
   defining Unicode char U+0179 (decimal 377)
   defining Unicode char U+017A (decimal 378)
   defining Unicode char U+017B (decimal 379)
   defining Unicode char U+017C (decimal 380)
   defining Unicode char U+017D (decimal 381)
   defining Unicode char U+017E (decimal 382)
   defining Unicode char U+200C (decimal 8204)
   defining Unicode char U+2013 (decimal 8211)
   defining Unicode char U+2014 (decimal 8212)
   defining Unicode char U+2018 (decimal 8216)
   defining Unicode char U+2019 (decimal 8217)
   defining Unicode char U+201A (decimal 8218)
   defining Unicode char U+201C (decimal 8220)
   defining Unicode char U+201D (decimal 8221)
   defining Unicode char U+201E (decimal 8222)
   defining Unicode char U+2030 (decimal 8240)
   defining Unicode char U+2031 (decimal 8241)
   defining Unicode char U+2039 (decimal 8249)
   defining Unicode char U+203A (decimal 8250)
   defining Unicode char U+2423 (decimal 9251)
)
Now handling font encoding OT1 ...
... processing UTF-8 mapping file for font encoding OT1

(/sw/share/texmf-dist/tex/latex/base/ot1enc.dfu
File: ot1enc.dfu 2004/02/09 v1.1b UTF-8 support for inputenc
   defining Unicode char U+00A1 (decimal 161)
   defining Unicode char U+00A3 (decimal 163)
   defining Unicode char U+00B8 (decimal 184)
   defining Unicode char U+00BF (decimal 191)
   defining Unicode char U+00C5 (decimal 197)
   defining Unicode char U+00C6 (decimal 198)
   defining Unicode char U+00D8 (decimal 216)
   defining Unicode char U+00DF (decimal 223)
   defining Unicode char U+00E6 (decimal 230)
   defining Unicode char U+00EC (decimal 236)
   defining Unicode char U+00ED (decimal 237)
   defining Unicode char U+00EE (decimal 238)
   defining Unicode char U+00EF (decimal 239)
   defining Unicode char U+00F8 (decimal 248)
   defining Unicode char U+0131 (decimal 305)
   defining Unicode char U+0141 (decimal 321)
   defining Unicode char U+0142 (decimal 322)
   defining Unicode char U+0152 (decimal 338)
   defining Unicode char U+0153 (decimal 339)
   defining Unicode char U+2013 (decimal 8211)
   defining Unicode char U+2014 (decimal 8212)
   defining Unicode char U+2018 (decimal 8216)
   defining Unicode char U+2019 (decimal 8217)
   defining Unicode char U+201C (decimal 8220)
   defining Unicode char U+201D (decimal 8221)
)
Now handling font encoding OMS ...
... processing UTF-8 mapping file for font encoding OMS

(/sw/share/texmf-dist/tex/latex/base/omsenc.dfu
File: omsenc.dfu 2004/02/09 v1.1b UTF-8 support for inputenc
   defining Unicode char U+00A7 (decimal 167)
   defining Unicode char U+00B6 (decimal 182)
   defining Unicode char U+02D9 (decimal 729)
   defining Unicode char U+2020 (decimal 8224)
   defining Unicode char U+2021 (decimal 8225)
   defining Unicode char U+2022 (decimal 8226)
)
Now handling font encoding OMX ...
... no UTF-8 mapping file for font encoding OMX
Now handling font encoding U ...
... no UTF-8 mapping file for font encoding U
   defining Unicode char U+00A9 (decimal 169)
   defining Unicode char U+00AA (decimal 170)
   defining Unicode char U+00AE (decimal 174)
   defining Unicode char U+00BA (decimal 186)
   defining Unicode char U+02C6 (decimal 710)
   defining Unicode char U+02CA (decimal 714)
   defining Unicode char U+200C (decimal 8204)
   defining Unicode char U+2026 (decimal 8230)
   defining Unicode char U+2122 (decimal 8482)
   defining Unicode char U+2423 (decimal 9251)
))
(/sw/share/texmf-dist/tex/latex/base/makeidx.sty
Package: makeidx 2000/03/29 v1.0m Standard LaTeX package
)
\@indexfile=\write3
\openout3 = `homalg.idx'.


Writing index file homalg.idx
(/sw/share/texmf-dist/tex/latex/graphics/color.sty
Package: color 1999/02/16 v1.0i Standard LaTeX Color (DPC)

(/sw/share/texmf-dist/tex/latex/graphics/color.cfg
File: color.cfg 2005/02/03 v1.3 color configuration of teTeX/TeXLive
)
Package color Info: Driver file: pdftex.def on input line 125.

(/sw/share/texmf-dist/tex/latex/graphics/pdftex.def
File: pdftex.def 2002/06/19 v0.03k graphics/color for pdftex
\Gread@gobject=\count88
))
(/sw/share/texmf-dist/tex/latex/fancyvrb/fancyvrb.sty
Package: fancyvrb 1998/07/17

Style option: `fancyvrb' v2.6, with DG/SPQR fixes <1998/07/17> (tvz)
(/sw/share/texmf-dist/tex/latex/graphics/keyval.sty
Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
\KV@toks@=\toks15
)
\FV@CodeLineNo=\count89
\FV@InFile=\read1
\FV@TabBox=\box26
\c@FancyVerbLine=\count90
\FV@StepNumber=\count91
\FV@OutFile=\write4

No file fancyvrb.cfg.
) (/sw/share/texmf-dist/tex/latex/pslatex/pslatex.sty
Package: pslatex 1996/07/24 v1.2 pslatex emulation (DPC)
LaTeX Font Info:    Redeclaring symbol font `operators' on input line 65.
LaTeX Font Info:    Overwriting symbol font `operators' in version `normal'
(Font)                  OT1/cmr/m/n --> OT1/ptmcm/m/n on input line 65.
LaTeX Font Info:    Overwriting symbol font `operators' in version `bold'
(Font)                  OT1/cmr/bx/n --> OT1/ptmcm/m/n on input line 65.
LaTeX Font Info:    Redeclaring symbol font `letters' on input line 66.
LaTeX Font Info:    Overwriting symbol font `letters' in version `normal'
(Font)                  OML/cmm/m/it --> OML/ptmcm/m/it on input line 66.
LaTeX Font Info:    Overwriting symbol font `letters' in version `bold'
(Font)                  OML/cmm/b/it --> OML/ptmcm/m/it on input line 66.
LaTeX Font Info:    Redeclaring symbol font `symbols' on input line 67.
LaTeX Font Info:    Overwriting symbol font `symbols' in version `normal'
(Font)                  OMS/cmsy/m/n --> OMS/pzccm/m/n on input line 67.
LaTeX Font Info:    Overwriting symbol font `symbols' in version `bold'
(Font)                  OMS/cmsy/b/n --> OMS/pzccm/m/n on input line 67.
LaTeX Font Info:    Redeclaring symbol font `largesymbols' on input line 68.
LaTeX Font Info:    Overwriting symbol font `largesymbols' in version `normal'
(Font)                  OMX/cmex/m/n --> OMX/psycm/m/n on input line 68.
LaTeX Font Info:    Overwriting symbol font `largesymbols' in version `bold'
(Font)                  OMX/cmex/m/n --> OMX/psycm/m/n on input line 68.
\symbold=\mathgroup6
\symitalic=\mathgroup7
LaTeX Font Info:    Redeclaring math alphabet \mathbf on input line 74.
LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `normal'
(Font)                  OT1/cmr/bx/n --> OT1/ptm/bx/n on input line 74.
LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `bold'
(Font)                  OT1/cmr/bx/n --> OT1/ptm/bx/n on input line 74.
LaTeX Font Info:    Redeclaring math alphabet \mathit on input line 75.
LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `normal'
(Font)                  OT1/cmr/m/it --> OT1/ptm/m/it on input line 75.
LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `bold'
(Font)                  OT1/cmr/bx/it --> OT1/ptm/m/it on input line 75.
)
(/sw/share/texmf-dist/tex/latex/hyperref/hyperref.sty
Package: hyperref 2003/11/30 v6.74m Hypertext links for LaTeX
\@linkdim=\dimen103
\Hy@linkcounter=\count92
\Hy@pagecounter=\count93

(/sw/share/texmf-dist/tex/latex/hyperref/pd1enc.def
File: pd1enc.def 2003/11/30 v6.74m Hyperref: PDFDocEncoding definition (HO)
Now handling font encoding PD1 ...
... no UTF-8 mapping file for font encoding PD1
)
(/sw/share/texmf-dist/tex/latex/hyperref/hyperref.cfg
File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive and teTeX
)
Package hyperref Info: Option `bookmarks' set `false' on input line 1830.
Package hyperref Info: Option `colorlinks' set `true' on input line 1830.
Package hyperref Info: Option `breaklinks' set `true' on input line 1830.
Package hyperref Info: Hyper figures OFF on input line 1880.
Package hyperref Info: Link nesting OFF on input line 1885.
Package hyperref Info: Hyper index ON on input line 1888.
Package hyperref Info: Plain pages ON on input line 1893.
Package hyperref Info: Backreferencing ON on input line 1898.

Implicit mode ON; LaTeX internals redefined
Package hyperref Info: Bookmarks OFF on input line 2010.
(/sw/share/texmf-dist/tex/latex/hyperref/backref.sty
Package: backref 2003/03/20 v1.23 Bibliographical back referencing
)
(/sw/share/texmf-dist/tex/latex/url/url.sty
\Urlmuskip=\muskip10
Package: url 2004/03/15  ver 3.1  Verb mode for urls, etc.
)
LaTeX Info: Redefining \url on input line 2143.
\Fld@menulength=\count94
\Field@Width=\dimen104
\Fld@charsize=\dimen105
\Choice@toks=\toks16
\Field@toks=\toks17
Package hyperref Info: Hyper figures OFF on input line 2618.
Package hyperref Info: Link nesting OFF on input line 2623.
Package hyperref Info: Hyper index ON on input line 2626.
Package hyperref Info: backreferencing ON on input line 2631.
Package hyperref Info: Link coloring ON on input line 2636.
\c@Item=\count95
\c@Hfootnote=\count96
)
*hyperref using driver hpdftex*
(/sw/share/texmf-dist/tex/latex/hyperref/hpdftex.def
File: hpdftex.def 2003/11/30 v6.74m Hyperref driver for pdfTeX

(/sw/share/texmf-dist/tex/latex/psnfss/pifont.sty
Package: pifont 2004/09/15 PSNFSS-v9.2 Pi font support (SPQR) 
LaTeX Font Info:    Try loading font information for U+pzd on input line 63.

(/sw/share/texmf-dist/tex/latex/psnfss/upzd.fd
File: upzd.fd 2001/06/04 font definitions for U/pzd.
)
LaTeX Font Info:    Try loading font information for U+psy on input line 64.

(/sw/share/texmf-dist/tex/latex/psnfss/upsy.fd
File: upsy.fd 2001/06/04 font definitions for U/psy.
))
\Fld@listcount=\count97
\@outlinefile=\write5
)
\pagenrlog=\write6
\openout6 = `homalg.pnr'.

 (./homalg.aux)
\openout1 = `homalg.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 43.
LaTeX Font Info:    ... okay on input line 43.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 43.
LaTeX Font Info:    ... okay on input line 43.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 43.
LaTeX Font Info:    ... okay on input line 43.
LaTeX Font Info:    Checking defaults for OMS/pzccm/m/n on input line 43.
LaTeX Font Info:    Try loading font information for OMS+pzccm on input line 43
.

(/sw/share/texmf-dist/tex/latex/psnfss/omspzccm.fd
File: omspzccm.fd 2000/01/03 Fontinst v1.801 font definitions for OMS/pzccm.
)
LaTeX Font Info:    ... okay on input line 43.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 43.
LaTeX Font Info:    ... okay on input line 43.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 43.
LaTeX Font Info:    ... okay on input line 43.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 43.
LaTeX Font Info:    ... okay on input line 43.

(/sw/share/texmf-dist/tex/context/base/supp-pdf.tex
(/sw/share/texmf-dist/tex/context/base/supp-mis.tex
loading : Context Support Macros / Miscellaneous (2004.10.26)
\protectiondepth=\count98
\scratchcounter=\count99
\scratchtoks=\toks18
\scratchdimen=\dimen106
\scratchskip=\skip43
\scratchmuskip=\muskip11
\scratchbox=\box27
\scratchread=\read2
\scratchwrite=\write7
\zeropoint=\dimen107
\onepoint=\dimen108
\onebasepoint=\dimen109
\minusone=\count100
\thousandpoint=\dimen110
\onerealpoint=\dimen111
\emptytoks=\toks19
\nextbox=\box28
\nextdepth=\dimen112
\everyline=\toks20
\!!counta=\count101
\!!countb=\count102
\recursecounter=\count103
)
loading : Context Support Macros / PDF (2004.03.26)
\nofMPsegments=\count104
\nofMParguments=\count105
\MPscratchCnt=\count106
\MPscratchDim=\dimen113
\MPnumerator=\count107
\everyMPtoPDFconversion=\toks21
)
Package hyperref Info: Link coloring ON on input line 43.
 (/sw/share/texmf-dist/tex/latex/hyperref/nameref.sty
Package: nameref 2003/12/03 v2.21 Cross-referencing by name of section
\c@section@level=\count108
)
LaTeX Info: Redefining \ref on input line 43.
LaTeX Info: Redefining \pageref on input line 43.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <24.88> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 47.
LaTeX Font Info:    Font shape `OT1/phv/bx/n' in size <24.88> not available
(Font)              Font shape `OT1/phv/b/n' tried instead on input line 47.
LaTeX Font Info:    Font shape `OT1/phv/b/n' will be
(Font)              scaled to size 22.39185pt on input line 47.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <14.4> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 50.
LaTeX Font Info:    Font shape `OT1/phv/bx/n' in size <14.4> not available
(Font)              Font shape `OT1/phv/b/n' tried instead on input line 50.
LaTeX Font Info:    Font shape `OT1/phv/b/n' will be
(Font)              scaled to size 12.9599pt on input line 50.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <12> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 55.


Package hyperref Warning: Token not allowed in a PDFDocEncoded string,
(hyperref)                removing `\\' on input line 57.

LaTeX Font Info:    Font shape `OT1/phv/m/n' will be
(Font)              scaled to size 9.85492pt on input line 67.

Underfull \hbox (badness 10000) in paragraph at lines 59--69

 []


Underfull \hbox (badness 10000) in paragraph at lines 59--69

 []


Underfull \hbox (badness 10000) in paragraph at lines 59--69

 []


Underfull \hbox (badness 10000) in paragraph at lines 59--69

 []


Overfull \hbox (60.64897pt too wide) in paragraph at lines 59--69
[][]\OT1/pcr/m/n/10.95 http://homalg.math.rwth-aachen.de/index.php/core-package
s/homalg-package[][] 
 []

LaTeX Font Info:    Try loading font information for OT1+ptmcm on input line 69
.
(/sw/share/texmf-dist/tex/latex/psnfss/ot1ptmcm.fd
File: ot1ptmcm.fd 2000/01/03 Fontinst v1.801 font definitions for OT1/ptmcm.
)
LaTeX Font Info:    Try loading font information for OML+ptmcm on input line 69
.

(/sw/share/texmf-dist/tex/latex/psnfss/omlptmcm.fd
File: omlptmcm.fd 2000/01/03 Fontinst v1.801 font definitions for OML/ptmcm.
)
LaTeX Font Info:    Try loading font information for OMX+psycm on input line 69
.

(/sw/share/texmf-dist/tex/latex/psnfss/omxpsycm.fd
File: omxpsycm.fd 2000/01/03 Fontinst v1.801 font definitions for OMX/psycm.
)
LaTeX Font Info:    Try loading font information for U+msa on input line 69.

(/sw/share/texmf-dist/tex/latex/amsfonts/umsa.fd
File: umsa.fd 2002/01/19 v2.2g AMS font definitions
)
LaTeX Font Info:    Try loading font information for U+msb on input line 69.

(/sw/share/texmf-dist/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2002/01/19 v2.2g AMS font definitions
)
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <10.95> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 69.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <8> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 69.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <6> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 69.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <10> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 76.

Underfull \hbox (badness 10000) in paragraph at lines 73--84

 []

[1

{/sw/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]
LaTeX Font Info:    Font shape `OMS/ptm/m/n' in size <10> not available
(Font)              Font shape `OMS/pzccm/m/n' tried instead on input line 90.

Underfull \hbox (badness 10000) in paragraph at lines 92--95

 []

LaTeX Font Info:    Font shape `OT1/phv/m/n' will be
(Font)              scaled to size 8.99994pt on input line 97.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <7.4> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 98.
LaTeX Font Info:    Font shape `OT1/phv/m/sl' will be
(Font)              scaled to size 7.19995pt on input line 145.
[2]
Underfull \hbox (badness 10000) in paragraph at lines 157--158

 []

[3] (./homalg.toc
LaTeX Font Info:    Font shape `OT1/phv/bx/n' in size <10.95> not available
(Font)              Font shape `OT1/phv/b/n' tried instead on input line 16.
LaTeX Font Info:    Font shape `OT1/phv/b/n' will be
(Font)              scaled to size 9.85492pt on input line 16.
LaTeX Font Info:    Try loading font information for OML+pcr on input line 19.
 (/sw/share/texmf-dist/tex/latex/psnfss/omlpcr.fd
File: omlpcr.fd 
)
LaTeX Font Info:    Font shape `OML/pcr/m/n' in size <10.95> not available
(Font)              Font shape `OML/cmm/m/it' tried instead on input line 19.
 [4

]
[5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17])
\tf@toc=\write8
\openout8 = `homalg.toc'.

 [18]
Chapter 1.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <20.74> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 166.
LaTeX Font Info:    Font shape `OT1/phv/bx/n' in size <12> not available
(Font)              Font shape `OT1/phv/b/n' tried instead on input line 188.
LaTeX Font Info:    Font shape `OT1/phv/b/n' will be
(Font)              scaled to size 10.79993pt on input line 188.
LaTeX Font Info:    Font shape `OMS/ptm/m/n' in size <10.95> not available
(Font)              Font shape `OMS/pzccm/m/n' tried instead on input line 195.

[19

] [20] [21] [22] [23]
Underfull \hbox (badness 10000) in paragraph at lines 414--418

 []


Underfull \hbox (badness 10000) in paragraph at lines 418--421

 []


Underfull \hbox (badness 10000) in paragraph at lines 421--426

 []


Underfull \hbox (badness 10000) in paragraph at lines 426--431

 []

[24]
Chapter 2.

Underfull \hbox (badness 10000) in paragraph at lines 453--458

 []


Underfull \hbox (badness 10000) in paragraph at lines 453--458

 []


Underfull \hbox (badness 10000) in paragraph at lines 459--465

 []


Underfull \hbox (badness 10000) in paragraph at lines 459--465

 []

[25

]
Chapter 3.
LaTeX Font Info:    Font shape `OT1/pcr/bx/n' in size <14.4> not available
(Font)              Font shape `OT1/pcr/b/n' tried instead on input line 487.

LaTeX Font Warning: Font shape `OML/pcr/bx/n' undefined
(Font)              using `OML/pcr/m/it' instead
(Font)              for symbol `textgreater' on input line 487.

LaTeX Font Info:    Font shape `OML/pcr/m/it' in size <14.4> not available
(Font)              Font shape `OML/cmm/m/it' tried instead on input line 487.

Underfull \hbox (badness 10000) in paragraph at lines 491--497

 []


Underfull \hbox (badness 10000) in paragraph at lines 491--497

 []


Underfull \hbox (badness 10000) in paragraph at lines 508--511

 []


Underfull \hbox (badness 1436) in paragraph at lines 512--520
[]\OT1/ptm/m/n/10.95 Here we com-pute the (in-fi-nite) long ex-act ho-mol-ogy s
e-quence of the co-vari-ant func-tor
 []


Underfull \hbox (badness 10000) in paragraph at lines 512--520

 []

[26

] [27] [28] [29] [30] [31]
Chapter 4.

Underfull \hbox (badness 10000) in paragraph at lines 786--790

 []

[32

]
LaTeX Font Info:    Font shape `OT1/pcr/bx/n' in size <12> not available
(Font)              Font shape `OT1/pcr/b/n' tried instead on input line 888.
 [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43]
Chapter 5.
[44

] [45] [46]
Chapter 6.
[47

] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61]
[62]
Underfull \hbox (badness 10000) in paragraph at lines 3875--3876
[]\OT1/ptm/m/n/10.95 Like \OT1/pcr/m/n/10.95 BasisOfRowModule\OT1/ptm/m/n/10.95
 ( [] ) but where the ma-trix \OT1/pcr/m/n/10.95 SyzygiesGeneratorsOfRows\OT1/p
tm/m/n/10.95 (
 []


Underfull \hbox (badness 10000) in paragraph at lines 3920--3921
[]\OT1/ptm/m/n/10.95 Like \OT1/pcr/m/n/10.95 SyzygiesGeneratorsOfColumns\OT1/pt
m/m/n/10.95 ( [] ) but where the ma-trix
 []


Underfull \hbox (badness 4582) in paragraph at lines 3920--3921
\OT1/pcr/m/n/10.95 SyzygiesGeneratorsOfColumns\OT1/ptm/m/n/10.95 ( \OT1/pcr/m/n
/10.95 ReducedSyzygiesGeneratorsOfColumns\OT1/ptm/m/n/10.95 ( [] ) ) con-tains
 []

[63] [64] [65] [66] [67] [68] [69]
Chapter 7.
[70

] [71]
Chapter 8.
[72

] [73]
Chapter 9.
[74

]
Underfull \hbox (badness 5908) in paragraph at lines 4738--4739
[]\OT1/ptm/m/n/10.95 (It is a rep-re-sen-ta-tion of the \OT1/phv/m/n/10.95 GAP 
\OT1/ptm/m/n/10.95 cat-e-gory \OT1/pcr/m/n/10.95 IsHomalgModule \OT1/ptm/m/n/10
.95 ([][]9.1.1[][]), which is a
 []


Underfull \hbox (badness 1810) in paragraph at lines 4738--4739
\OT1/ptm/m/n/10.95 sub-rep-re-sen-ta-tion of the \OT1/phv/m/n/10.95 GAP \OT1/pt
m/m/n/10.95 rep-re-sen-ta-tions \OT1/pcr/m/n/10.95 IsFinitelyPresentedModuleOrS
ubmoduleRep\OT1/ptm/m/n/10.95 ,
 []


Underfull \hbox (badness 10000) in paragraph at lines 4755--4756
[]\OT1/ptm/m/n/10.95 (It is a rep-re-sen-ta-tion of the \OT1/phv/m/n/10.95 GAP 
\OT1/ptm/m/n/10.95 cat-e-gory \OT1/pcr/m/n/10.95 IsHomalgModule \OT1/ptm/m/n/10
.95 ([][]9.1.1[][]),
 []


Underfull \hbox (badness 10000) in paragraph at lines 4755--4756
\OT1/pcr/m/n/10.95 IsFinitelyPresentedModuleOrSubmoduleRep\OT1/ptm/m/n/10.95 , 
\OT1/pcr/m/n/10.95 IsFinitelyPresentedSubobjectRep\OT1/ptm/m/n/10.95 , and
 []

[75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88]
Chapter 10.
[89

] [90] [91] [92]
Underfull \hbox (badness 10000) in paragraph at lines 6297--6299

 []


Underfull \hbox (badness 10000) in paragraph at lines 6313--6315

 []

[93] [94] [95] [96]
Underfull \hbox (badness 10000) in paragraph at lines 6647--6652

 []


Underfull \hbox (badness 10000) in paragraph at lines 6647--6652

 []

[97]
Chapter 11.
[98

]
Underfull \hbox (badness 2875) in paragraph at lines 6753--6754
[]\OT1/ptm/m/n/10.95 The fourth syn-tax cre-ates a com-plex with the sin-gle \O
T1/phv/m/n/10.95 homalg \OT1/ptm/m/n/10.95 (co)chain map [] ($\OMS/pzccm/m/n/10
.95 !$
 []

[99]
Underfull \hbox (badness 1715) in paragraph at lines 6826--6827
[]\OT1/ptm/m/n/10.95 The fourth syn-tax cre-ates a co-com-plex with the sin-gle
 \OT1/phv/m/n/10.95 homalg \OT1/ptm/m/n/10.95 (co)chain map [] ($\OMS/pzccm/m/n
/10.95 !$
 []

[100] [101] [102] [103] [104] [105]
Chapter 12.
[106

] [107] [108]
Underfull \hbox (badness 10000) in paragraph at lines 7539--7541

 []


Underfull \hbox (badness 10000) in paragraph at lines 7555--7557

 []

[109] [110]
Chapter 13.
[111

] [112] [113] [114]
Chapter 14.
[115

] [116]
Underfull \hbox (badness 1796) in paragraph at lines 8154--8156
[]\OT1/ptm/m/n/10.95 The dif-fer-en-tial of the re-sult-ing level []$\OT1/ptmcm
/m/n/10.95 +1$ \OT1/ptm/m/n/10.95 ob-ject can a pos-te-ri-ori be com-puted us-i
ng
 []

[117] [118] [119]
Chapter 15.

Underfull \hbox (badness 10000) in paragraph at lines 8398--8402

 []

[120

] [121] [122] [123] [124]
Chapter 16.

Underfull \hbox (badness 10000) in paragraph at lines 8697--8702

 []


Underfull \hbox (badness 10000) in paragraph at lines 8697--8702

 []

[125

] [126] [127] [128] [129]
Underfull \hbox (badness 10000) in paragraph at lines 9046--9049

 []

[130]
Underfull \hbox (badness 10000) in paragraph at lines 9073--9076

 []

[131]
Underfull \hbox (badness 10000) in paragraph at lines 9132--9135

 []


Underfull \hbox (badness 10000) in paragraph at lines 9157--9160

 []

[132]
Underfull \hbox (badness 10000) in paragraph at lines 9199--9202

 []


Underfull \hbox (badness 10000) in paragraph at lines 9226--9229

 []

[133]
Underfull \hbox (badness 10000) in paragraph at lines 9283--9286

 []


Underfull \hbox (badness 10000) in paragraph at lines 9311--9314

 []

[134]
Underfull \hbox (badness 10000) in paragraph at lines 9360--9363

 []


Underfull \hbox (badness 10000) in paragraph at lines 9385--9388

 []

[135] [136] [137] [138]
Underfull \hbox (badness 10000) in paragraph at lines 9590--9593

 []


Underfull \hbox (badness 10000) in paragraph at lines 9615--9621

 []

[139]
Underfull \hbox (badness 7777) in paragraph at lines 9626--9627
[]\OT1/ptm/m/n/10.95 The sym-bol \OT1/pcr/m/n/10.95 * \OT1/ptm/m/n/10.95 is a s
hort-hand for sev-eral op-er-a-tions as-so-ci-ated with the func-tor
 []

[140] [141]
Underfull \hbox (badness 10000) in paragraph at lines 9768--9771

 []


Underfull \hbox (badness 10000) in paragraph at lines 9786--9789

 []

[142]
Underfull \hbox (badness 10000) in paragraph at lines 9834--9837

 []


Underfull \hbox (badness 10000) in paragraph at lines 9852--9855

 []

[143]
Underfull \hbox (badness 10000) in paragraph at lines 9897--9900

 []


Underfull \hbox (badness 10000) in paragraph at lines 9915--9918

 []

[144] [145] [146]
Underfull \hbox (badness 10000) in paragraph at lines 10050--10053

 []


Underfull \hbox (badness 10000) in paragraph at lines 10068--10071

 []

[147] [148] [149]
Underfull \hbox (badness 10000) in paragraph at lines 10203--10206

 []


Underfull \hbox (badness 10000) in paragraph at lines 10221--10224

 []


Underfull \hbox (badness 10000) in paragraph at lines 10282--10285

 []

[150]
Underfull \hbox (badness 10000) in paragraph at lines 10325--10328

 []

[151] [152]
Chapter 17.
[153

] [154] [155] [156] [157] [158] [159]
Appendix A.
[160

]
LaTeX Font Info:    Font shape `OT1/ptm/bx/it' in size <12> not available
(Font)              Font shape `OT1/ptm/b/it' tried instead on input line 10830
.
 [161] [162] [163]
Appendix B.

Underfull \hbox (badness 1924) in paragraph at lines 10936--10937
\OT1/ptm/m/n/10.95 As fi-nite di-men-sional con-struc-tions in lin-ear al-ge-br
a over a field $\OML/ptmcm/m/it/10.95 k$ \OT1/ptm/m/n/10.95 boil down to solv-i
ng
 []

[164

]
Appendix C.
[165

] [166]
Appendix D.
LaTeX Font Info:    Font shape `OT1/ptm/bx/it' in size <14.4> not available
(Font)              Font shape `OT1/ptm/b/it' tried instead on input line 11036
.

Underfull \hbox (badness 3713) in paragraph at lines 11069--11070
[]\OT1/ptm/m/n/10.95 Let $\OML/ptmcm/m/it/10.95 R \OT1/ptmcm/m/n/10.95 :=$ \OT1
/pcr/m/n/10.95 HomalgRing$\OT1/ptmcm/m/n/10.95 ([])$ \OT1/ptm/m/n/10.95 and $\O
ML/ptmcm/m/it/10.95 RP \OT1/ptmcm/m/n/10.95 :=$ \OT1/pcr/m/n/10.95 homalgTable$
\OT1/ptmcm/m/n/10.95 (\OML/ptmcm/m/it/10.95 R\OT1/ptmcm/m/n/10.95 )$\OT1/ptm/m/
n/10.95 . If the \OT1/pcr/m/n/10.95 homalgTable \OT1/ptm/m/n/10.95 com-
 []


Underfull \hbox (badness 6658) in paragraph at lines 11069--11070
\OT1/ptm/m/n/10.95 po-nent $\OML/ptmcm/m/it/10.95 RP$\OT1/ptm/m/n/10.95 !.\OT1/
pcr/m/n/10.95 IdentityMatrix \OT1/ptm/m/n/10.95 is bound then the method \OT1/p
cr/m/n/10.95 Eval \OT1/ptm/m/n/10.95 ([][]E.4.2[][]) re-sets the fil-ter
 []

[167

] [168] [169] [170] [171] [172] [173] [174] [175]
Underfull \hbox (badness 10000) in paragraph at lines 11677--11678
[]\OT1/ptm/m/n/10.95 Let $\OML/ptmcm/m/it/10.95 R \OT1/ptmcm/m/n/10.95 :=$ \OT1
/pcr/m/n/10.95 HomalgRing$\OT1/ptmcm/m/n/10.95 ([])$ \OT1/ptm/m/n/10.95 and $\O
ML/ptmcm/m/it/10.95 RP \OT1/ptmcm/m/n/10.95 :=$ \OT1/pcr/m/n/10.95 homalgTable$
\OT1/ptmcm/m/n/10.95 (\OML/ptmcm/m/it/10.95 R\OT1/ptmcm/m/n/10.95 )$\OT1/ptm/m/
n/10.95 . If the \OT1/pcr/m/n/10.95 homalgTable
 []


Underfull \hbox (badness 10000) in paragraph at lines 11677--11678
\OT1/ptm/m/n/10.95 com-po-nent $\OML/ptmcm/m/it/10.95 RP$\OT1/ptm/m/n/10.95 !.\
OT1/pcr/m/n/10.95 GetColumnIndependentUnitPositions \OT1/ptm/m/n/10.95 is bound
 then the stan-dard
 []


Underfull \hbox (badness 10000) in paragraph at lines 11677--11678
\OT1/ptm/m/n/10.95 method of the op-er-a-tion \OT1/pcr/m/n/10.95 GetColumnIndep
endentUnitPositions \OT1/ptm/m/n/10.95 ([][]6.5.14[][]) re-turns
 []

[176]
Underfull \hbox (badness 10000) in paragraph at lines 11739--11740
[]\OT1/ptm/m/n/10.95 Let $\OML/ptmcm/m/it/10.95 R \OT1/ptmcm/m/n/10.95 :=$ \OT1
/pcr/m/n/10.95 HomalgRing$\OT1/ptmcm/m/n/10.95 ([])$ \OT1/ptm/m/n/10.95 and $\O
ML/ptmcm/m/it/10.95 RP \OT1/ptmcm/m/n/10.95 :=$ \OT1/pcr/m/n/10.95 homalgTable$
\OT1/ptmcm/m/n/10.95 (\OML/ptmcm/m/it/10.95 R\OT1/ptmcm/m/n/10.95 )$\OT1/ptm/m/
n/10.95 . If the \OT1/pcr/m/n/10.95 homalgTable
 []


Underfull \hbox (badness 10000) in paragraph at lines 11739--11740
\OT1/ptm/m/n/10.95 com-po-nent $\OML/ptmcm/m/it/10.95 RP$\OT1/ptm/m/n/10.95 !.\
OT1/pcr/m/n/10.95 GetRowIndependentUnitPositions \OT1/ptm/m/n/10.95 is bound th
en the stan-dard
 []


Underfull \hbox (badness 10000) in paragraph at lines 11739--11740
\OT1/ptm/m/n/10.95 method of the op-er-a-tion \OT1/pcr/m/n/10.95 GetRowIndepend
entUnitPositions \OT1/ptm/m/n/10.95 ([][]6.5.15[][]) re-turns
 []

[177] [178] [179] [180]
Appendix E.

Underfull \hbox (badness 2253) in paragraph at lines 11952--11953
[]\OT1/ptm/m/n/10.95 In case the ma-trix [] was cre-ated us-ing \OT1/pcr/m/n/10
.95 HomalgInitialMatrix \OT1/ptm/m/n/10.95 ([][]6.2.1[][]) then the fil-ter
 []

[181

] [182] [183]
Underfull \hbox (badness 1642) in paragraph at lines 12119--12120
[]\OT1/ptm/m/n/10.95 In case the ma-trix [] was cre-ated us-ing \OT1/pcr/m/n/10
.95 HomalgIdentityMatrix \OT1/ptm/m/n/10.95 ([][]6.2.4[][]) then the fil-ter
 []

[184] [185]
Underfull \hbox (badness 10000) in paragraph at lines 12266--12267
[]\OT1/ptm/m/n/10.95 In case the ma-trix was cre-ated us-ing \OT1/pcr/m/n/10.95
 CertainColumns \OT1/ptm/m/n/10.95 ([][]6.5.4[][]) then the fil-ter
 []

[186] [187]
Underfull \hbox (badness 10000) in paragraph at lines 12367--12368
[]\OT1/ptm/m/n/10.95 In case the ma-trix was cre-ated us-ing \OT1/pcr/m/n/10.95
 UnionOfColumns \OT1/ptm/m/n/10.95 ([][]6.5.6[][]) then the fil-ter
 []

[188] [189] [190] [191] [192] [193]
Underfull \hbox (badness 10000) in paragraph at lines 12781--12782
[]\OT1/ptm/m/n/10.95 In case the ma-trix was cre-ated us-ing \OT1/pcr/m/n/10.95
 RightInverse \OT1/ptm/m/n/10.95 ([][]6.4.14[][]) then the fil-ter
 []

[194] [195]
Appendix F.
[196

] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207]
[208]
Appendix G.

Underfull \hbox (badness 10000) in paragraph at lines 13875--13880

 []


Underfull \hbox (badness 10000) in paragraph at lines 13875--13880

 []


Underfull \hbox (badness 10000) in paragraph at lines 13912--13916
[]\OT1/ptm/m/n/10.95 In par-tic-u-lar, if \OT1/phv/m/n/10.95 homalg \OT1/ptm/m/
n/10.95 del-e-gates ma-trix op-er-a-tions to an ex-ter-nal sys-tem then
 []


Underfull \hbox (badness 10000) in paragraph at lines 13912--13916

 []

[209

] [210]
Underfull \hbox (badness 10000) in paragraph at lines 14007--14010

 []


Overfull \hbox (14.93933pt too wide) in paragraph at lines 14015--14050
 [] 
 []

[211] [212]
Appendix H.
[213

] [214] [215]
Appendix I.
LaTeX Font Info:    Font shape `OT1/phv/m/it' in size <10.95> not available
(Font)              Font shape `OT1/phv/m/sl' tried instead on input line 14299
.
LaTeX Font Info:    Font shape `OT1/phv/m/sl' will be
(Font)              scaled to size 9.85492pt on input line 14299.
[216

] [217] [218] (./homalg.bbl (./homalg.brf)
\tf@brf=\write9
\openout9 = `homalg.brf'.

 [219]) (./homalg.ind [220

]
Underfull \hbox (badness 10000) in paragraph at lines 41--43
[]\OT1/pcr/m/n/10.95 BasisAlgorithmRespectsPrincipalIdeals\OT1/ptm/m/n/10.95 ,
 []

[221

] [222]
Underfull \hbox (badness 10000) in paragraph at lines 195--196
[]\OT1/pcr/m/n/10.95 GeneralizedEmbeddingsInTotalDefects\OT1/ptm/m/n/10.95 ,
 []


Underfull \hbox (badness 10000) in paragraph at lines 196--197
[]\OT1/pcr/m/n/10.95 GeneralizedEmbeddingsInTotalObjects\OT1/ptm/m/n/10.95 ,
 []

[223]
Underfull \hbox (badness 10000) in paragraph at lines 315--317
[]\OT1/pcr/m/n/10.95 Indeterminate\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Anti\O
T1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Commuting\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/
10.95 Variables\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 317--319
[]\OT1/pcr/m/n/10.95 Indeterminate\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Coordi
nates\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/
10.95 Ring\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 319--321
[]\OT1/pcr/m/n/10.95 Indeterminate\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Deriva
tions\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/
10.95 Ring\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 343--345
[]\OT1/pcr/m/n/10.95 IsBicocomplex\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1
/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Finitely\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.
95 Presented\OT1/ptm/m/n/10.95 -
 []


Overfull \hbox (9.78952pt too wide) in paragraph at lines 346--348
[]\OT1/pcr/m/n/10.95 IsBicomplexOfFinitelyPresentedObjectsRep\OT1/ptm/m/n/10.95
 ,
 []


Underfull \hbox (badness 10000) in paragraph at lines 348--350
[]\OT1/pcr/m/n/10.95 IsBigraded\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Object\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Fi
nitely\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Presented\OT1/ptm/m/n/10.95 -
 []


Overfull \hbox (4.20505pt too wide) in paragraph at lines 351--353
[]\OT1/pcr/m/n/10.95 IsChainMapOfFinitelyPresentedObjectsRep\OT1/ptm/m/n/10.95 
,
 []


Underfull \hbox (badness 10000) in paragraph at lines 353--355
[]\OT1/pcr/m/n/10.95 IsCochain\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Map\OT1/pt
m/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Finite
ly\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Presented\OT1/ptm/m/n/10.95 -
 []


Overfull \hbox (9.78952pt too wide) in paragraph at lines 355--357
[]\OT1/pcr/m/n/10.95 IsCocomplexOfFinitelyPresentedObjectsRep\OT1/ptm/m/n/10.95
 ,
 []


Underfull \hbox (badness 10000) in paragraph at lines 358--360
[]\OT1/pcr/m/n/10.95 IsComplexOfFinitelyPresentedObjectsRep\OT1/ptm/m/n/10.95 ,

 []

[224]
Overfull \hbox (4.20505pt too wide) in paragraph at lines 377--379
[]\OT1/pcr/m/n/10.95 IsFinitelyPresentedModuleOrSubmoduleRep\OT1/ptm/m/n/10.95 
,
 []


Overfull \hbox (9.78952pt too wide) in paragraph at lines 395--397
[]\OT1/pcr/m/n/10.95 IsGeneratorsOfFinitelyGeneratedModuleRep\OT1/ptm/m/n/10.95
 ,
 []


Underfull \hbox (badness 10000) in paragraph at lines 406--408
[]\OT1/pcr/m/n/10.95 IsHomalg\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Bigraded\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Object\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.9
5 Associated\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 To\OT1/ptm/m/n/10.95 -\OT1/p
cr/m/n/10.95 A\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 408--410
[]\OT1/pcr/m/n/10.95 IsHomalg\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Bigraded\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Object\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.9
5 Associated\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 To\OT1/ptm/m/n/10.95 -\OT1/p
cr/m/n/10.95 A\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 410--412
[]\OT1/pcr/m/n/10.95 IsHomalg\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Bigraded\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Object\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.9
5 Associated\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 To\OT1/ptm/m/n/10.95 -\OT1/p
cr/m/n/10.95 An\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 435--437
[]\OT1/pcr/m/n/10.95 IsHomalg\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Spectral\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Sequence\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10
.95 Associated\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 To\OT1/ptm/m/n/10.95 -\OT1
/pcr/m/n/10.95 A\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 437--439
[]\OT1/pcr/m/n/10.95 IsHomalg\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Spectral\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Sequence\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10
.95 Associated\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 To\OT1/ptm/m/n/10.95 -\OT1
/pcr/m/n/10.95 A\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 439--441
[]\OT1/pcr/m/n/10.95 IsHomalg\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Spectral\OT
1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Sequence\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10
.95 Associated\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 To\OT1/ptm/m/n/10.95 -\OT1
/pcr/m/n/10.95 An\OT1/ptm/m/n/10.95 -
 []

[225]
Overfull \hbox (4.20505pt too wide) in paragraph at lines 501--503
[]\OT1/pcr/m/n/10.95 IsRelationsOfFinitelyPresentedModuleRep\OT1/ptm/m/n/10.95 
,
 []


Underfull \hbox (badness 10000) in paragraph at lines 522--524
[]\OT1/pcr/m/n/10.95 IsSpectral\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Cosequenc
e\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.9
5 Finitely\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 524--526
[]\OT1/pcr/m/n/10.95 IsSpectral\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Sequence\
OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Of\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 
Finitely\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Presented\OT1/ptm/m/n/10.95 -
 []


Underfull \hbox (badness 10000) in paragraph at lines 540--541
[]\OT1/pcr/m/n/10.95 IsTransposedWRTTheAssociatedComplex\OT1/ptm/m/n/10.95 ,
 []

[226]
Underfull \hbox (badness 10000) in paragraph at lines 624--625
[]\OT1/pcr/m/n/10.95 PositionOfFirstNonZeroEntryPerColumn\OT1/ptm/m/n/10.95 ,
 []

[227] [228]) (./homalg.aux)

LaTeX Font Warning: Some font shapes were not available, defaults substituted.

 ) 
Here is how much of TeX's memory you used:
 6062 strings out of 94500
 93818 string characters out of 1176115
 155457 words of memory out of 1500000
 7575 multiletter control sequences out of 10000+50000
 72751 words of font info for 138 fonts, out of 1200000 for 2000
 580 hyphenation exceptions out of 8191
 27i,8n,34p,1130b,549s stack positions out of 5000i,500n,6000p,200000b,5000s
PDF statistics:
 3875 PDF objects out of 65536
 1543 named destinations out of 20000
 17 words of extra memory for PDF output out of 65536
{/sw/share/texmf-dist/fonts/enc/dvips/psnfss/8r.enc}</sw/share/texmf-dist/fon
ts/type1/urw/times/utmbi8a.pfb></sw/share/texmf-dist/fonts/type1/urw/courier/uc
rro8a.pfb></sw/share/texmf-dist/fonts/type1/bluesky/symbols/msam10.pfb></sw/sha
re/texmf-dist/fonts/type1/urw/symbol/usyr.pfb></sw/share/texmf-dist/fonts/type1
/bluesky/cm/cmmi12.pfb></sw/share/texmf-dist/fonts/type1/urw/courier/ucrb8a.pfb
></sw/share/texmf-dist/fonts/type1/bluesky/cm/cmr10.pfb></sw/share/texmf-dist/f
onts/type1/bluesky/cm/cmmi10.pfb></sw/share/texmf-dist/fonts/type1/bluesky/symb
ols/msbm10.pfb></sw/share/texmf-dist/fonts/type1/bluesky/cm/cmsy10.pfb></sw/sha
re/texmf-dist/fonts/type1/urw/helvetic/uhvro8a.pfb></sw/share/texmf-dist/fonts/
type1/urw/helvetic/uhvr8a.pfb></sw/share/texmf-dist/fonts/type1/urw/courier/ucr
r8a.pfb></sw/share/texmf-dist/fonts/type1/urw/times/utmri8a.pfb></sw/share/texm
f-dist/fonts/type1/urw/times/utmr8a.pfb></sw/share/texmf-dist/fonts/type1/urw/t
imes/utmb8a.pfb></sw/share/texmf-dist/fonts/type1/urw/helvetic/uhvb8a.pfb>
Output written on homalg.pdf (228 pages, 1206959 bytes).
