Simplicial complexes of small codimension
Abstract
We show that a Buchsbaum simplicial complex of small codimension must have large depth. More generally, we achieve a similar result for CMt simplicial complexes, a notion generalizing Buchsbaum-ness, and we prove more precise results in the codimension 2 case. Along the paper, we show that the CMt property is a topological invariant of a simplicial complex.
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