Shellability and homology of q-complexes and q-matroids

Autor:	Sudhir R. Ghorpade, Rakhi Pratihar, Tovohery H. Randrianarisoa
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Algebra and Number Theory Mathematics::Combinatorics Mathematics::Commutative Algebra FOS: Mathematics Algebraic Topology (math.AT) Discrete Mathematics and Combinatorics Mathematics - Combinatorics Combinatorics (math.CO) Mathematics - Algebraic Topology 05B35 05A30 52B22 55N99
Popis:	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 by independent subspaces of a $q$-matroid are shellable. Further, we explicitly determine the homology of $q$-complexes corresponding to uniform $q$-matroids. We also outline some partial results concerning the determination of homology of arbitrary shellable $q$-complexes.. 26 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9894a46b4b4f4f2675be48bcb41212da https://hdl.handle.net/10037/28722 Zobrazit plný text záznamu