AbstractSimplicialComplex -- the type of all abstract simplicial complexes

Functions and methods returning an abstract simplicial complex:

• abstractSimplicialComplex(List) -- see abstractSimplicialComplex -- the AbstractSimplicialComplex that is determined by an abstract simplicial complex
• abstractSimplicialComplex(ZZ) -- see abstractSimplicialComplex -- the AbstractSimplicialComplex that is determined by an abstract simplicial complex
• abstractSimplicialComplex(ZZ,ZZ) -- see abstractSimplicialComplex -- the AbstractSimplicialComplex that is determined by an abstract simplicial complex
• AbstractSimplicialComplex _ ZZ -- the $k$ faces of a simplicial complex
• ambientAbstractSimplicialComplex(AbstractSimplicialComplex) -- see ambientAbstractSimplicialComplex -- the ambient simplex
• new AbstractSimplicialComplex
• randomAbstractSimplicialComplex(ZZ) -- see randomAbstractSimplicialComplex -- create a random abstract simplicial complex
• randomAbstractSimplicialComplex(ZZ,ZZ) -- see randomAbstractSimplicialComplex -- create a random abstract simplicial complex
• randomAbstractSimplicialComplex(ZZ,ZZ,ZZ) -- see randomAbstractSimplicialComplex -- create a random abstract simplicial complex
• randomSubSimplicialComplex(AbstractSimplicialComplex) -- see randomSubSimplicialComplex -- create a random subsimplicial complex

Methods that use an abstract simplicial complex:

• AbstractSimplicialComplex == AbstractSimplicialComplex -- decide if two simplicial complexes are equal
• abstractSimplicialComplexFacets(AbstractSimplicialComplex) -- see abstractSimplicialComplexFacets -- the facets of a simplicial complex
• ambientAbstractSimplicialComplexSize(AbstractSimplicialComplex) -- see ambientAbstractSimplicialComplexSize -- the ambient simplex size
• describe(AbstractSimplicialComplex) -- real description
• dim(AbstractSimplicialComplex) -- the dimension of a simplicial complex
• inducedReducedSimplicialChainComplexMap(AbstractSimplicialComplex,AbstractSimplicialComplex) -- see inducedReducedSimplicialChainComplexMap -- the induced maps that arise via inclusions of abstract simplicial complexes
• inducedSimplicialChainComplexMap(AbstractSimplicialComplex,AbstractSimplicialComplex) -- see inducedSimplicialChainComplexMap -- the induced maps that arise via inclusions of abstract simplicial complexes
• reducedSimplicialChainComplex(AbstractSimplicialComplex) -- see reducedSimplicialChainComplex -- the reduced homological chain complex that is determined by an abstract simplicial complex
• simplicialChainComplex(AbstractSimplicialComplex) -- see simplicialChainComplex -- the non-reduced homological chain complex that is determined by an abstract simplicial complex

For the programmer

The object AbstractSimplicialComplex is a type, with ancestor classes HashTable < Thing.

The source of this document is in AbstractSimplicialComplexes.m2:606:0.