On Codimension one Embedding of Simplicial Complexes
Geometric Topology
2017-03-06 v2 Combinatorics
Abstract
We study -dimensional simplicial complexes that are PL embeddable in . 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.
Cite
@article{arxiv.1605.01240,
title = {On Codimension one Embedding of Simplicial Complexes},
author = {Anders Björner and Afshin Goodarzi},
journal= {arXiv preprint arXiv:1605.01240},
year = {2017}
}