On Codimension one Embedding of Simplicial Complexes

by · Jul 23, 2016 · 228 views ·

We study d-dimensional simplicial complexes that are PL embeddable in Rd+1. It is shown that such a complex must satisfy a certain homological condition. The existence of this obstruction allows us to provide a systematic approach to deriving upper bounds for the number of top-dimensional faces of such complexes, particularly in low dimensions. Joint work with Afshin Goodarzi.

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