  
  [1m[4m[31m10. Property handlers[0m
  
  As  explained  in  chapter  [1m3.[0m,  an  object  of  type [22m[32mSCSimplicialComplex[0m or
  [22m[32mSCNormalSurface[0m provides a set of property handlers for easily accessing and
  computing its properties using the .-operator.
  For example, the f-vector of a simplicial complex / normal surface [22m[32mc[0m that is
  stored as [22m[32mSCSimplicialComplex[0m object can be accessed via the statement [22m[32mc.F;[0m.
  See  below  for  a list of all properties supported by a [22m[32mSCSimplicialComplex[0m
  and [22m[32mSCNormalSurface[0m object.
  
  
  [1m[4m[31m10.1 Property handlers of a [22m[32mSCSimplicialComplex[1m[4m[31m[0m
  
  This   section   contains   a   table   of   all   property  handlers  of  a
  [22m[32mSCSimplicialComplex[0m object.
  
        [1m[46mProperty handler[0m             [1m[46mFunction called[0m                      
     ---------------------------------------------------------------------
                                                                          
        ASDet                        [1m[34mSCAltshulerSteinberg[0m ([1m4.5-1[0m)         
        AlexanderDual                [1m[34mSCAlexanderDual[0m ([1m4.6-1[0m)              
        AutomorphismGroup            [1m[34mSCAutomorphismGroup[0m ([1m4.5-2[0m)          
        AutomorphismGroupInternal    [1m[34mSCAutomorphismGroupInternal[0m ([1m4.5-3[0m)  
        Boundary                     [1m[34mSCBoundary[0m ([1m4.5-4[0m)                   
        BoundaryOperatorMatrix       [1m[34mSCBoundaryOperatorMatrix[0m ([1m5.1-1[0m)     
        Chi                          [1m[34mSCEulerCharacteristic[0m ([1m4.5-7[0m)        
        CoboundaryOperatorMatrix     [1m[34mSCCoboundaryOperatorMatrix[0m ([1m5.2-1[0m)   
        Cohomology                   [1m[34mSCCohomology[0m ([1m5.2-2[0m)                 
        CohomologyBasis              [1m[34mSCCohomologyBasis[0m ([1m5.2-3[0m)            
        CohomologyBasisAsSimplices   [1m[34mSCCohomologyBasisAsSimplices[0m ([1m5.2-4[0m) 
        CollapseGreedy               [1m[34mSCCollapseGreedy[0m ([1m4.6-2[0m)             
        Cone                         [1m[34mSCCone[0m ([1m4.6-3[0m)                       
        ConnectedComponents          [1m[34mSCConnectedComponents[0m ([1m4.3-3[0m)        
        Copy                         [1m[34mSCCopy[0m ([1m3.1-2[0m)                       
        CupProduct                   [1m[34mSCCupProduct[0m ([1m5.2-5[0m)                 
        DeletedJoin                  [1m[34mSCDeletedJoin[0m ([1m4.6-4[0m)                
        DetermineTopologicalType     [1m[34mSCLibDetermineTopologicalType[0m ([1m8.1-6[0m)
        Difference                   [1m[34mSCDifference[0m ([1m4.6-5[0m)                 
        Dim                          [1m[34mSCDim[0m ([1m4.5-5[0m)                        
        DualGraph                    [1m[34mSCDualGraph[0m ([1m4.5-6[0m)                  
        Equivalent                   [1m[34mSCEquivalent[0m ([1m6.2-2[0m)                 
        ExportJavaView               [1m[34mSCExportJavaView[0m ([1m8.2-6[0m)             
        ExportLatexTable             [1m[34mSCExportLatexTable[0m ([1m8.2-5[0m)           
        ExportPolymake               [1m[34mSCExportPolymake[0m ([1m8.2-3[0m)             
  
        F                                [1m[34mSCFVector[0m ([1m4.5-8[0m)                       
        FaceLattice                      [1m[34mSCFaceLattice[0m ([1m4.5-9[0m)                   
        FaceLatticeEx                    [1m[34mSCFaceLatticeEx[0m ([1m4.5-10[0m)                
        Faces                            [1m[34mSCFaces[0m ([1m4.5-11[0m)                        
        FacesEx                          [1m[34mSCFacesEx[0m ([1m4.5-12[0m)                      
        Facets                           [1m[34mSCFacets[0m ([1m4.5-13[0m)                       
        FacetsEx                         [1m[34mSCFacetsEx[0m ([1m4.5-14[0m)                     
        FpBetti                          [1m[34mSCFpBettiNumbers[0m ([1m4.5-15[0m)               
        FundamentalGroup                 [1m[34mSCFundamentalGroup[0m ([1m4.5-16[0m)             
        G                                [1m[34mSCGVector[0m ([1m4.5-17[0m)                      
        Generators                       [1m[34mSCGenerators[0m ([1m4.5-18[0m)                   
        GeneratorsEx                     [1m[34mSCGeneratorsEx[0m ([1m4.5-19[0m)                 
        H                                [1m[34mSCHVector[0m ([1m4.5-20[0m)                      
        HandleAddition                   [1m[34mSCHandleAddition[0m ([1m4.6-6[0m)                
        HasBoundary                      [1m[34mSCHasBoundary[0m ([1m4.5-21[0m)                  
        HasInterior                      [1m[34mSCHasInterior[0m ([1m4.5-22[0m)                  
        Homology                         [1m[34mSCHomology[0m ([1m4.5-23[0m)                     
        HomologyBasis                    [1m[34mSCHomologyBasis[0m ([1m5.1-3[0m)                 
        HomologyBasisAsSimplices         [1m[34mSCHomologyBasisAsSimplices[0m ([1m5.1-4[0m)      
        HomologyInternal                 [1m[34mSCHomologyInternal[0m ([1m5.1-5[0m)              
        Incidences                       [1m[34mSCIncidences[0m ([1m4.5-24[0m)                   
        IncidencesEx                     [1m[34mSCIncidencesEx[0m ([1m4.5-25[0m)                 
        Interior                         [1m[34mSCInterior[0m ([1m4.5-26[0m)                     
        Intersection                     [1m[34mSCIntersection[0m ([1m4.6-7[0m)                  
        IntersectionForm                 [1m[34mSCIntersectionForm[0m ([1m5.2-6[0m)              
        IntersectionFormDimensionality   [1m[34mSCIntersectionFormDimensionality[0m ([1m5.2-8[0m)
        IntersectionFormParity           [1m[34mSCIntersectionFormParity[0m ([1m5.2-7[0m)        
        IsCentrallySymmetric             [1m[34mSCIsCentrallySymmetric[0m ([1m4.5-27[0m)         
        IsConnected                      [1m[34mSCIsConnected[0m ([1m4.5-28[0m)                  
        IsEmpty                          [1m[34mSCIsEmpty[0m ([1m4.5-29[0m)                      
        IsEulerianManifold               [1m[34mSCIsEulerianManifold[0m ([1m4.5-30[0m)           
        IsHomologySphere                 [1m[34mSCIsHomologySphere[0m ([1m4.5-31[0m)             
        IsInKd                           [1m[34mSCIsInKd[0m ([1m4.5-32[0m)                       
        IsIsomorphic                     [1m[34mSCIsIsomorphic[0m ([1m4.6-8[0m)                  
        IsKNeighborly                    [1m[34mSCIsKNeighborly[0m ([1m4.5-33[0m)                
        IsKStackedSphere                 [1m[34mSCIsKStackedSphere[0m ([1m6.2-5[0m)              
        IsManifold                       [1m[34mSCIsManifold[0m ([1m6.2-6[0m)                    
        IsMovable                        [1m[34mSCIsMovableComplex[0m ([1m6.2-7[0m)              
        IsOrientable                     [1m[34mSCIsOrientable[0m ([1m4.5-34[0m)                 
        IsPM                             [1m[34mSCIsPseudoManifold[0m ([1m4.5-35[0m)             
        IsPure                           [1m[34mSCIsPure[0m ([1m4.5-36[0m)                       
        IsShellable                      [1m[34mSCIsShellable[0m ([1m4.5-37[0m)                  
        IsStronglyConnected              [1m[34mSCIsStronglyConnected[0m ([1m4.5-38[0m)          
        IsSubcomplex                     [1m[34mSCIsSubcomplex[0m ([1m4.6-9[0m)                  
        Isomorphism                      [1m[34mSCIsomorphism[0m ([1m4.6-10[0m)                  
        IsomorphismEx                    [1m[34mSCIsomorphismEx[0m ([1m4.6-11[0m)                
  
        Join                          [1m[34mSCJoin[0m ([1m4.6-12[0m)                       
        LabelMax                      [1m[34mSCLabelMax[0m ([1m4.4-1[0m)                    
        LabelMin                      [1m[34mSCLabelMin[0m ([1m4.4-2[0m)                    
        Labels                        [1m[34mSCLabels[0m ([1m4.4-3[0m)                      
        Link                          [1m[34mSCLink[0m ([1m4.6-13[0m)                       
        Links                         [1m[34mSCLinks[0m ([1m4.6-14[0m)                      
        Load                          [1m[34mSCLoad[0m ([1m8.2-1[0m)                        
        MinimalNonFaces               [1m[34mSCMinimalNonFaces[0m ([1m4.5-39[0m)            
        MinimalNonFacesEx             [1m[34mSCMinimalNonFacesEx[0m ([1m4.5-40[0m)          
        Move                          [1m[34mSCMove[0m ([1m6.2-8[0m)                        
        Moves                         [1m[34mSCMoves[0m ([1m6.2-9[0m)                       
        Name                          [1m[34mSCName[0m ([1m4.5-41[0m)                       
        Neighborliness                [1m[34mSCNeighborliness[0m ([1m4.5-42[0m)             
        Neighbors                     [1m[34mSCNeighbors[0m ([1m4.6-15[0m)                  
        NeighborsEx                   [1m[34mSCNeighborsEx[0m ([1m4.6-16[0m)                
        NumFaces                      [1m[34mSCNumFaces[0m ([1m4.5-43[0m)                   
        Orientation                   [1m[34mSCOrientation[0m ([1m4.5-44[0m)                
        RMoves                        [1m[34mSCRMoves[0m ([1m6.2-10[0m)                     
        Recalc                        [1m[34mSCForceRecalc[0m ([1m3.1-4[0m)                 
        Reduce                        [1m[34mSCReduceComplex[0m ([1m6.2-12[0m)              
        ReduceAsSubcomplex            [1m[34mSCReduceAsSubcomplex[0m ([1m6.2-11[0m)         
        ReduceEx                      [1m[34mSCReduceComplexEx[0m ([1m6.2-13[0m)            
        Relabel                       [1m[34mSCRelabel[0m ([1m4.4-4[0m)                     
        RelabelStandard               [1m[34mSCRelabelStandard[0m ([1m4.4-5[0m)             
        RelabelTransposition          [1m[34mSCRelabelTransposition[0m ([1m4.4-6[0m)        
        Rename                        [1m[34mSCRename[0m ([1m4.4-7[0m)                      
        Save                          [1m[34mSCSave[0m ([1m8.2-2[0m)                        
        Shelling                      [1m[34mSCShelling[0m ([1m4.6-17[0m)                   
        ShellingExt                   [1m[34mSCShellingExt[0m ([1m4.6-18[0m)                
        Shellings                     [1m[34mSCShellings[0m ([1m4.6-19[0m)                  
        Skel                          [1m[34mSCSkel[0m ([1m4.5-45[0m)                       
        SkelEx                        [1m[34mSCSkelEx[0m ([1m4.5-46[0m)                     
        Slicing                       [1m[34mSCNSSlicing[0m ([1m7.1-4[0m)                   
        SortComplex                   [1m[34mSCSortComplex[0m ([1m4.4-8[0m)                 
        Span                          [1m[34mSCSpan[0m ([1m4.6-20[0m)                       
        SpanningTree                  [1m[34mSCSpanningTree[0m ([1m4.5-47[0m)               
        Star                          [1m[34mSCStar[0m ([1m4.6-21[0m)                       
        Stars                         [1m[34mSCStars[0m ([1m4.6-22[0m)                      
        StronglyConnectedComponents   [1m[34mSCStronglyConnectedComponents[0m ([1m4.3-11[0m)
        Suspension                    [1m[34mSCSuspension[0m ([1m4.6-23[0m)                 
        Union                         [1m[34mSCUnion[0m ([1m4.6-24[0m)                      
        UnlabelFace                   [1m[34mSCUnlabelFace[0m ([1m4.4-9[0m)                 
        VertexIdentification          [1m[34mSCVertexIdentification[0m ([1m4.6-25[0m)       
        Vertices                      [1m[34mSCVertices[0m ([1m4.5-48[0m)                   
        VerticesEx                    [1m[34mSCVerticesEx[0m ([1m4.5-49[0m)                 
        Wedge                         [1m[34mSCWedge[0m ([1m4.6-26[0m)                      
  
  
  [1m[4m[31m10.2 Property handlers of a [22m[32mSCNormalSurface[1m[4m[31m[0m
  
  This  section contains a table of all property handlers of a [22m[32mSCNormalSurface[0m
  object.
  
        [1m[46mProperty handler[0m   [1m[46mFunction called[0m        
     ---------------------------------------------
                                                  
        Betti              SCNSFpBettiNumbers     
        Chi                SCNSEulerCharacteristic
        ConnComp           SCConnectedComponents  
        Connected          SCIsConnected          
        Copy               SCNSCopy               
        Dim                SCNSDim                
        F                  SCNSFVector            
        FaceLattice        SCNSFaceLattice        
        Faces              SCNSSkel               
        Facets             SCFacets               
        Genus              SCNSGenus              
        Homology           SCNSHomology           
        IsEmpty            SCIsEmpty              
        Labels             SCLabels               
        Name               SCName                 
        Triangulation      SCNSSubdivision        
        Type               SCNSTopologicalType    
        Vertices           SCVertices             
  
