Finding attributes and properties -- information about accessing features of an abstract simplicial complex

Having made a SimplicialComplex, one can access its basic invariants or test for some elementary properties by using the following methods:

Determining attributes and properties of simplicial complexes

• ideal(SimplicialComplex) -- get the Stanley–Reisner ideal
• monomialIdeal(SimplicialComplex) -- get the Stanley–Reisner monomial ideal
• ring(SimplicialComplex) -- get the polynomial ring of its Stanley–Reisner ideal
• coefficientRing(SimplicialComplex) -- get the coefficient ring of the underlying polynomial ring
• dim(SimplicialComplex) -- find the dimension of an abstract simplicial complex
• facets(SimplicialComplex) -- get the list of maximal faces
• isPure(SimplicialComplex) -- whether the facets are equidimensional
• vertices(SimplicialComplex) -- get the list of the vertices for an abstract simplicial complex
• faces(ZZ,SimplicialComplex) -- get the $i$-faces of an abstract simplicial complex
• connectedComponents(SimplicialComplex) -- find the connected components of an abstract simplicial complex
• fVector(SimplicialComplex) -- compute the f-vector of an abstract simplicial complex
• flagfVector(List,SimplicialComplex) -- compute a flag $f$-number of a colored simplicial complex
• isProper(SimplicialComplex) -- whether an abstract simplicial complex is properly colored