pure simplicial complex

A finite simplicial complex is pure if each facet has the same dimension.

For example, any polytope is pure, but the simplicial complex

 $\{\emptyset,a,b,c,d,ab,ac,bc,cd,abc\}$

is not pure because $cd$ and $abc$ are facets with different dimensions.

Title pure simplicial complex PureSimplicialComplex 2013-03-22 14:18:52 2013-03-22 14:18:52 mps (409) mps (409) 5 mps (409) Definition msc 55U10 msc 52B99