Simplicial complexes of small codimension

Varbaro, Matteo; Zaare-Nahandi, Rahim

doi:10.1090/proc/14510

Simplicial complexes of small codimension
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by Matteo Varbaro and Rahim Zaare-Nahandi PDF

Proc. Amer. Math. Soc. 147 (2019), 3347-3355 Request permission

Abstract:

We show that $\textrm {CM}_t$ simplicial complexes, a notion generalizing Buchsbaum-ness, of small codimension must have large depth, proving more precise results in the codimension 2 case. In the paper, we show that the $\textrm {CM}_t$ property is a topological invariant of a simplicial complex.

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