Two Decompositions in Topological Combinatorics with Applications to Matroid Complexes
Two Decompositions in Topological Combinatorics with Applications to Matroid Complexes
This paper introduces two new decomposition techniques which are related to the classical notion of shellability of simplicial complexes, and uses the existence of these decompositions to deduce certain numerical properties for an associated enumerative invariant. First, we introduce the notion of <italic>M-shellability</italic>, which is a generalization to pure posets …