AbstractSimplicialComplexes : Table of Contents

• AbstractSimplicialComplexes -- a package for working with abstract simplicial complexes
• AbstractSimplicialComplex -- The type of all abstract simplicial complexes
• abstractSimplicialComplex -- The abstractSimplicialComplex that is determined by an abstract simplicial complex
• AbstractSimplicialComplex == AbstractSimplicialComplex -- Decide if two simplicial complexes are equal
• AbstractSimplicialComplex _ ZZ -- The k faces of a simplicial complex
• abstractSimplicialComplexFacets -- The facets of a simplicial complex
• ambientAbstractSimplicialComplex -- The ambient simplex
• ambientAbstractSimplicialComplexSize -- The ambient simplex size
• Calculations with random simplicial complexes -- Homological calculations on random simplicial complexes
• describe(AbstractSimplicialComplex) -- real description
• dim(AbstractSimplicialComplex) -- The dimension of a simplicial complex
• How to make abstract simplicial complexes -- Using the type AbstractSimplicialComplexs to represent abstract simplicial complexes
• How to make reduced and non-reduced simplicial chain complexes -- Simplicial homological constructors
• How to make subsimplical complexes and induced simplicial chain complex maps -- Induced simplicial chain complex maps via subsimplicial complexes
• inducedReducedSimplicialChainComplexMap -- Induced maps that arise via inclusions of abstract simplicial complexes
• inducedSimplicialChainComplexMap -- Induced maps that arise via inclusions of abstract simplicial complexes
• new AbstractSimplicialComplex
• randomAbstractSimplicialComplex -- Create a random simplicial set
• randomSubSimplicialComplex -- Create a random sub-simplicial complex
• reducedSimplicialChainComplex -- The reduced homological chain complex that is determined by an abstract simplicial complex
• simplicialChainComplex -- The non-reduced homological chain complex that is determined by an abstract simplicial complex