Shellability and homology of q-complexes and q-matroids

نویسندگان

چکیده

We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion shellability for such complexes. It is shown that q-complexes formed by independent subspaces q-matroid are shellable. Further, we explicitly determine homology corresponding to uniform q-matroids. also outline some partial results concerning determination arbitrary shellable q-complexes.

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ژورنال

عنوان ژورنال: Journal of Algebraic Combinatorics

سال: 2022

ISSN: ['0925-9899', '1572-9192']

DOI: https://doi.org/10.1007/s10801-022-01150-1