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### 10. Property handlers

As explained in chapter 3., an object of type `SCSimplicialComplex` or `SCNormalSurface` 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 `c` that is stored as `SCSimplicialComplex` object can be accessed via the statement `c.F;`. See below for a list of all properties supported by a `SCSimplicialComplex` and `SCNormalSurface` object.

#### 10.1 Property handlers of a `SCSimplicialComplex`

This section contains a table of all property handlers of a `SCSimplicialComplex` object.

Property handler | Function called
ASDet | `SCAltshulerSteinberg` (4.5-1)
AlexanderDual | `SCAlexanderDual` (4.6-1)
AutomorphismGroup | `SCAutomorphismGroup` (4.5-2)
AutomorphismGroupInternal | `SCAutomorphismGroupInternal` (4.5-3)
Boundary | `SCBoundary` (4.5-4)
BoundaryOperatorMatrix | `SCBoundaryOperatorMatrix` (5.1-1)
Chi | `SCEulerCharacteristic` (4.5-7)
CoboundaryOperatorMatrix | `SCCoboundaryOperatorMatrix` (5.2-1)
Cohomology | `SCCohomology` (5.2-2)
CohomologyBasis | `SCCohomologyBasis` (5.2-3)
CohomologyBasisAsSimplices | `SCCohomologyBasisAsSimplices` (5.2-4)
CollapseGreedy | `SCCollapseGreedy` (4.6-2)
Cone | `SCCone` (4.6-3)
ConnectedComponents | `SCConnectedComponents` (4.3-3)
Copy | `SCCopy` (3.1-2)
CupProduct | `SCCupProduct` (5.2-5)
DeletedJoin | `SCDeletedJoin` (4.6-4)
DetermineTopologicalType | `SCLibDetermineTopologicalType` (8.1-6)
Difference | `SCDifference` (4.6-5)
Dim | `SCDim` (4.5-5)
DualGraph | `SCDualGraph` (4.5-6)
Equivalent | `SCEquivalent` (6.2-2)
ExportJavaView | `SCExportJavaView` (8.2-6)
ExportLatexTable | `SCExportLatexTable` (8.2-5)
ExportPolymake | `SCExportPolymake` (8.2-3)

F | `SCFVector` (4.5-8)
FaceLattice | `SCFaceLattice` (4.5-9)
FaceLatticeEx | `SCFaceLatticeEx` (4.5-10)
Faces | `SCFaces` (4.5-11)
FacesEx | `SCFacesEx` (4.5-12)
Facets | `SCFacets` (4.5-13)
FacetsEx | `SCFacetsEx` (4.5-14)
FpBetti | `SCFpBettiNumbers` (4.5-15)
FundamentalGroup | `SCFundamentalGroup` (4.5-16)
G | `SCGVector` (4.5-17)
Generators | `SCGenerators` (4.5-18)
GeneratorsEx | `SCGeneratorsEx` (4.5-19)
H | `SCHVector` (4.5-20)
HandleAddition | `SCHandleAddition` (4.6-6)
HasBoundary | `SCHasBoundary` (4.5-21)
HasInterior | `SCHasInterior` (4.5-22)
Homology | `SCHomology` (4.5-23)
HomologyBasis | `SCHomologyBasis` (5.1-3)
HomologyBasisAsSimplices | `SCHomologyBasisAsSimplices` (5.1-4)
HomologyInternal | `SCHomologyInternal` (5.1-5)
Incidences | `SCIncidences` (4.5-24)
IncidencesEx | `SCIncidencesEx` (4.5-25)
Interior | `SCInterior` (4.5-26)
Intersection | `SCIntersection` (4.6-7)
IntersectionForm | `SCIntersectionForm` (5.2-6)
IntersectionFormDimensionality | `SCIntersectionFormDimensionality` (5.2-8)
IntersectionFormParity | `SCIntersectionFormParity` (5.2-7)
IsCentrallySymmetric | `SCIsCentrallySymmetric` (4.5-27)
IsConnected | `SCIsConnected` (4.5-28)
IsEmpty | `SCIsEmpty` (4.5-29)
IsEulerianManifold | `SCIsEulerianManifold` (4.5-30)
IsHomologySphere | `SCIsHomologySphere` (4.5-31)
IsInKd | `SCIsInKd` (4.5-32)
IsIsomorphic | `SCIsIsomorphic` (4.6-8)
IsKNeighborly | `SCIsKNeighborly` (4.5-33)
IsKStackedSphere | `SCIsKStackedSphere` (6.2-5)
IsManifold | `SCIsManifold` (6.2-6)
IsMovable | `SCIsMovableComplex` (6.2-7)
IsOrientable | `SCIsOrientable` (4.5-34)
IsPM | `SCIsPseudoManifold` (4.5-35)
IsPure | `SCIsPure` (4.5-36)
IsShellable | `SCIsShellable` (4.5-37)
IsStronglyConnected | `SCIsStronglyConnected` (4.5-38)
IsSubcomplex | `SCIsSubcomplex` (4.6-9)
Isomorphism | `SCIsomorphism` (4.6-10)
IsomorphismEx | `SCIsomorphismEx` (4.6-11)

Join | `SCJoin` (4.6-12)
LabelMax | `SCLabelMax` (4.4-1)
LabelMin | `SCLabelMin` (4.4-2)
Labels | `SCLabels` (4.4-3)
Link | `SCLink` (4.6-13)
Links | `SCLinks` (4.6-14)
Load | `SCLoad` (8.2-1)
MinimalNonFaces | `SCMinimalNonFaces` (4.5-39)
MinimalNonFacesEx | `SCMinimalNonFacesEx` (4.5-40)
Move | `SCMove` (6.2-8)
Moves | `SCMoves` (6.2-9)
Name | `SCName` (4.5-41)
Neighborliness | `SCNeighborliness` (4.5-42)
Neighbors | `SCNeighbors` (4.6-15)
NeighborsEx | `SCNeighborsEx` (4.6-16)
NumFaces | `SCNumFaces` (4.5-43)
Orientation | `SCOrientation` (4.5-44)
RMoves | `SCRMoves` (6.2-10)
Recalc | `SCForceRecalc` (3.1-4)
Reduce | `SCReduceComplex` (6.2-12)
ReduceAsSubcomplex | `SCReduceAsSubcomplex` (6.2-11)
ReduceEx | `SCReduceComplexEx` (6.2-13)
Relabel | `SCRelabel` (4.4-4)
RelabelStandard | `SCRelabelStandard` (4.4-5)
RelabelTransposition | `SCRelabelTransposition` (4.4-6)
Rename | `SCRename` (4.4-7)
Save | `SCSave` (8.2-2)
Shelling | `SCShelling` (4.6-17)
ShellingExt | `SCShellingExt` (4.6-18)
Shellings | `SCShellings` (4.6-19)
Skel | `SCSkel` (4.5-45)
SkelEx | `SCSkelEx` (4.5-46)
Slicing | `SCNSSlicing` (7.1-4)
SortComplex | `SCSortComplex` (4.4-8)
Span | `SCSpan` (4.6-20)
SpanningTree | `SCSpanningTree` (4.5-47)
Star | `SCStar` (4.6-21)
Stars | `SCStars` (4.6-22)
StronglyConnectedComponents | `SCStronglyConnectedComponents` (4.3-11)
Suspension | `SCSuspension` (4.6-23)
Union | `SCUnion` (4.6-24)
UnlabelFace | `SCUnlabelFace` (4.4-9)
VertexIdentification | `SCVertexIdentification` (4.6-25)
Vertices | `SCVertices` (4.5-48)
VerticesEx | `SCVerticesEx` (4.5-49)
Wedge | `SCWedge` (4.6-26)

#### 10.2 Property handlers of a `SCNormalSurface`

This section contains a table of all property handlers of a `SCNormalSurface` object.

Property handler | Function called
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

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