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Chapter 1.
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[]\OT1/ptm/m/n/10.95 The next ad-vised step is to have a look at the func-tions
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Chapter 2.
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Chapter 3.
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[][]\OT1/ptm/b/n/14.4 The ob-ject types \OT1/pcr/b/n/14.4 SCSimplicialComplex \
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[]\OT1/ptm/m/n/10.95 Filter for the cat-e-gory of a sim-pli-cial com-plex \OT1/
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[]$\U/msa/m/n/10.95 ^^F$ \OT1/pcr/m/n/10.95 Operation Union (SCSimplicialComple
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[]$\U/msa/m/n/10.95 ^^F$ \OT1/pcr/m/n/10.95 Operation Difference (SCSimplicialC
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[]$\U/msa/m/n/10.95 ^^F$ \OT1/pcr/m/n/10.95 Operation Intersection (SCSimplicia
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[25]
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[][]\OT1/ptm/b/n/14.4 The ob-ject types \OT1/pcr/b/n/14.4 SCNormalSurface \OT1/
ptm/b/n/14.4 as asub-ty-ope of
 []

[26] [27] [28] [29]
Chapter 4.
[30

] [31] [32] [33] [34]

Package amsmath Warning: Foreign command \atopwithdelims;
(amsmath)                \frac or \genfrac should be used instead
(amsmath)                 on input line 1523.

[35]
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[]\OT1/ptm/m/n/10.95 If $\OML/ptmcm/m/it/10.95 n \OMS/pzccm/m/n/10.95 ^^U \OT1/
ptmcm/m/n/10.95 2$\OT1/ptm/m/n/10.95 , the func-tion in-ter-nally calls $\OT1/p
tmcm/m/n/10.95 1\OMS/pzccm/m/n/10.95 ^^B$ \OT1/pcr/m/n/10.95 SCConnectedSum \OT
1/ptm/m/n/10.95 ([][]4.3.5[][]) and $\OT1/ptmcm/m/n/10.95 (\OML/ptmcm/m/it/10.9
5 n \OMS/pzccm/m/n/10.95 ^^@ \OT1/ptmcm/m/n/10.95 2)\OMS/pzccm/m/n/10.95 ^^B$
 []

[36] [37] [38]
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[][] \OT1/ptm/m/n/10.95 in-duces a sim-plex $\OT1/ptmcm/m/n/10.95 ^^A = (\OML/p
tmcm/m/it/10.95 v[]; [] ; v[]\OT1/ptmcm/m/n/10.95 )$ \OT1/ptm/m/n/10.95 by $\OM
L/ptmcm/m/it/10.95 v[] \OT1/ptmcm/m/n/10.95 =$[]\OT1/ptm/m/n/10.95 , $\OML/ptmc
m/m/it/10.95 v[] \OT1/ptmcm/m/n/10.95 = \OML/ptmcm/m/it/10.95 v[]\OT1/ptmcm/m/n
/10.95 +$
 []

[39] [40] [41] [42] [43]
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[]\OT1/ptm/m/n/10.95 The func-tion is equiv-a-lent to \OT1/pcr/m/n/10.95 SCRela
bel \OT1/ptm/m/n/10.95 ([][]4.4.4[][]) with [] $\OT1/ptmcm/m/n/10.95 =
 []


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\OT1/ptmcm/m/n/10.95 [\OML/ptmcm/m/it/10.95 VertexLabels\OT1/ptmcm/m/n/10.95 [1
]\OML/ptmcm/m/it/10.95 ; [] ; VertexLabels\OT1/ptmcm/m/n/10.95 [\OML/ptmcm/m/it
/10.95 i\OT1/ptmcm/m/n/10.95 ]\OML/ptmcm/m/it/10.95 ; [] ; VertexLabels\OT1/ptm
cm/m/n/10.95 [\OML/ptmcm/m/it/10.95 j\OT1/ptmcm/m/n/10.95 ]\OML/ptmcm/m/it/10.9
5 ; [] ; VertexLabels\OT1/ptmcm/m/n/10.95 [\OML/ptmcm/m/it/10.95 n\OT1/ptmcm/m/
n/10.95 ]]$ \OT1/ptm/m/n/10.95 if []
 []

[44] [45] [46]
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[]\OT1/ptm/m/n/10.95 The group is given in struc-ture de-scrip-tion, pro-vided 
by the GAP func-tion
 []

[47] [48] [49] [50] [51] [52] [53] [54] [55]
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\OT1/pcr/m/n/10.95 SimplicialHomology(complex.FacetsEx) \OT1/ptm/m/n/10.95 from
 the \OT1/phv/m/n/10.95 ho-mol-ogy \OT1/ptm/m/n/10.95 pack-age, ver-sion 1.4.2.
, see
 []

[56] [57] [58] [59] [60] [61] [62]
Underfull \hbox (badness 1009) in paragraph at lines 3550--3552
[]\OT1/ptm/m/n/10.95 Returns $\OML/ptmcm/m/it/10.95 k$ \OT1/ptm/m/n/10.95 if a 
sim-pli-cial com-plex is $\OML/ptmcm/m/it/10.95 k$\OT1/ptm/m/n/10.95 -neighborl
y but not $\OT1/ptmcm/m/n/10.95 (\OML/ptmcm/m/it/10.95 k \OT1/ptmcm/m/n/10.95 +
 1)$\OT1/ptm/m/n/10.95 -neighborly. See also
 []

[63] [64] [65] [66] [67] [68] [69]
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[]\OT1/ptm/m/n/10.95 Returns an iso-mor-phism of [] to [] in the orig-i-nal la-
bel-ing if they
 []


Underfull \hbox (badness 10000) in paragraph at lines 4080--4081
\OT1/ptm/m/n/10.95 are com-bi-na-to-ri-ally iso-mor-phic, \OT1/pcr/m/n/10.95 fa
lse \OT1/ptm/m/n/10.95 oth-er-wise. In-ter-nally calls \OT1/pcr/m/n/10.95 SCIso
morphismEx
 []

[70] [71] [72] [73] [74] [75] [76] [77] [78] [79]
Chapter 5.
[80

] [81] [82] [83] [84]
Underfull \hbox (badness 10000) in paragraph at lines 5020--5030

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\OT1/ptm/m/n/10.95 called the in-ter-sec-tion form. This func-tion re-turns the
 in-ter-sec-tion form in in-te-gral co-
 []


Underfull \hbox (badness 3364) in paragraph at lines 5058--5064
\OT1/ptm/m/n/10.95 ho-mol-ogy in form of a ma-trix \OT1/pcr/m/n/10.95 mat \OT1/
ptm/m/n/10.95 with re-spect to the ba-sis of H$[]\OT1/ptmcm/m/n/10.95 (\OML/ptm
cm/m/it/10.95 M\OT1/ptmcm/m/n/10.95 )$ \OT1/ptm/m/n/10.95 com-puted by
 []

[85] [86] [87]
Chapter 6.

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 []


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[]\OT1/ptm/m/n/10.95 Record of global vari-ables to ad-just out-put an be-hav-i
or of bis-tel-lar moves in
 []

[88

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[]\OT1/ptm/m/n/10.95 Internally calls \OT1/pcr/m/n/10.95 SCReduceComplexEx \OT1
/ptm/m/n/10.95 ([][]6.2.13[][])\OT1/pcr/m/n/10.95 (complex1,complex2,1,SCIntFun
c.SCChooseMove); 
 []

[89] [90] [91]
Underfull \hbox (badness 1067) in paragraph at lines 5435--5437
\OT1/ptm/m/n/10.95 which is dif-fer-ent from the bound-ary of the sim-plex. In-
ter-nally calls \OT1/pcr/m/n/10.95 SCReduceComplexEx
 []

[92] [93]
Overfull \hbox (24.13647pt too wide) in paragraph at lines 5613--5614
[]\OT1/ptm/m/n/10.95 Internally calls \OT1/pcr/m/n/10.95 SCReduceComplexEx \OT1
/ptm/m/n/10.95 ([][]6.2.13[][])\OT1/pcr/m/n/10.95 (complex1,complex2,2,SCIntFun
c.SCChooseMove); 
 []

[94]
Underfull \hbox (badness 6961) in paragraph at lines 5648--5650
[]\OT1/ptm/m/n/10.95 Reduces a closed sim-pli-cial pseu-do-man-i-fold via bis-t
el-lar moves. In-ter-nally calls
 []

[95]
Underfull \hbox (badness 3333) in paragraph at lines 5692--5693
[][] \OT1/ptm/m/n/10.95 is a func-tion con-tain-ing a flip strat-egy for the fl
ip se-quence, see also
 []


Underfull \hbox (badness 10000) in paragraph at lines 5705--5707

 []

[96]
Chapter 7.
[97

] [98] [99] [100] [101] [102] [103] [104] [105] [106]
Chapter 8.

Underfull \hbox (badness 8151) in paragraph at lines 6342--6345
[]\OT1/ptm/m/n/10.95 Among other known tri-an-gu-la-tions, the li-brary con-tai
ns all of the ver-tex tran-si-
 []


Underfull \hbox (badness 5878) in paragraph at lines 6342--6345
\OT1/ptm/m/n/10.95 tive tri-an-gu-la-tions of d-manifolds, $\OML/ptmcm/m/it/10.
95 d \OMS/pzccm/m/n/10.95 ^^T \OT1/ptmcm/m/n/10.95 11$ \OT1/ptm/m/n/10.95 with 
few ($\OML/ptmcm/m/it/10.95 n \OMS/pzccm/m/n/10.95 ^^T \OT1/ptmcm/m/n/10.95 13$
 \OT1/ptm/m/n/10.95 and $\OML/ptmcm/m/it/10.95 n \OMS/pzccm/m/n/10.95 ^^T \OT1/
ptmcm/m/n/10.95 15$ \OT1/ptm/m/n/10.95 for $\OML/ptmcm/m/it/10.95 d \OT1/ptmcm/
m/n/10.95 =
 []


Underfull \hbox (badness 1616) in paragraph at lines 6342--6345
\OT1/ptmcm/m/n/10.95 2\OML/ptmcm/m/it/10.95 ; \OT1/ptmcm/m/n/10.95 3\OML/ptmcm/
m/it/10.95 ; \OT1/ptmcm/m/n/10.95 9\OML/ptmcm/m/it/10.95 ; \OT1/ptmcm/m/n/10.95
 10\OML/ptmcm/m/it/10.95 ; \OT1/ptmcm/m/n/10.95 11$\OT1/ptm/m/n/10.95 ) ver-tic
es clas-si-fied by Frank Lutz that can be found on his ``Man-i-fold Page''
 []


Underfull \hbox (badness 1635) in paragraph at lines 6342--6345
[][]\OT1/pcr/m/n/10.95 http://www.math.tu-berlin.de/diskregeom/stellar/[][]\OT1
/ptm/m/n/10.95 , along with some tri-an-gu-la-tions of
 []


Underfull \hbox (badness 10000) in paragraph at lines 6370--6373

 []


Underfull \hbox (badness 2772) in paragraph at lines 6375--6377
[]\OT1/ptm/m/n/10.95 The global vari-able \OT1/pcr/m/n/10.95 SCLib \OT1/ptm/m/n
/10.95 con-tains the li-brary ob-ject of the global li-brary of \OT1/phv/m/n/10
.95 sim-p-
 []


Underfull \hbox (badness 1931) in paragraph at lines 6375--6377
\OT1/phv/m/n/10.95 comp \OT1/ptm/m/n/10.95 through which the user can ac-cess t
he li-brary. The path to the global li-brary is
 []

[107

] [108] [109] [110] [111] [112] [113] [114] [115] [116]
Chapter 9.
[117

] [118] [119]
Underfull \hbox (badness 10000) in paragraph at lines 7208--7209
[]\OT1/ptm/m/n/10.95 Test whether the pack-age \OT1/phv/m/n/10.95 sim-p-comp \O
T1/ptm/m/n/10.95 is func-tional by call-ing
 []

[120]
Chapter 10.

Underfull \hbox (badness 2261) in paragraph at lines 7226--7229
\OT1/ptm/m/n/10.95 For ex-am-ple, the $\OML/ptmcm/m/it/10.95 f$\OT1/ptm/m/n/10.
95 -vector of a sim-pli-cial com-plex / nor-mal sur-face \OT1/pcr/m/n/10.95 c \
OT1/ptm/m/n/10.95 that is stored as
 []

[121

] [122] [123] [124] [125]
Chapter 11.
[126

]
Underfull \hbox (badness 2653) in paragraph at lines 7607--7610
\OT1/ptm/m/n/10.95 As de-scribed in sec-tion [][]3.2[][] there are two sev-eral
 ways of ac-cess-ing an ob-ject of type
 []

[127] [128] [129] [130] [131] [132] [133] [134]
Chapter 12.

Underfull \hbox (badness 3646) in paragraph at lines 7989--7991
\OT1/ptm/m/n/10.95 The pack-age \OT1/phv/m/n/10.95 sim-p-comp \OT1/ptm/m/n/10.9
5 works with sim-pli-cial com-plexes for which a \OT1/phv/m/n/10.95 GAP \OT1/pt
m/m/n/10.95 ob-ject type
 []

[135

] [136] (./simpcomp.bbl (./simpcomp.brf)
\tf@brf=\write7
\openout7 = `simpcomp.brf'.

 [137] [138

]) (./simpcomp.ind
[139]
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[]\OT1/pcr/m/n/10.95 Operation * (SCSimplicialComplex,
 []


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[]\OT1/pcr/m/n/10.95 Operation + (SCNormalSurface, Integer)\OT1/ptm/m/n/10.95 ,

 []


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[]\OT1/pcr/m/n/10.95 Operation + (SCSimplicialComplex,
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[]\OT1/pcr/m/n/10.95 Operation + (SCSimplicialComplex,
 []


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[]\OT1/pcr/m/n/10.95 Operation - (SCNormalSurface, Integer)\OT1/ptm/m/n/10.95 ,

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[]\OT1/pcr/m/n/10.95 Operation - (SCSimplicialComplex,
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