Shellability and homology of $q$-complexes and $q$-matroids

Sudhir R. Ghorpade, Rakhi Pratihar, Tovohery H. Randrianarisoa

We consider a $q$-analogue of abstract simplicial complexes, called $q$-complexes, and discuss the notion of shellability for such complexes. It is shown that $q$-complexes formed…