Edgewise Cohen-Macaulay connectivity of partially ordered sets
Combinatorics
2015-11-11 v3
Abstract
The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohen--Macaulay property, namely that removing from their Hasse diagram all edges in any closed interval results in a Cohen--Macaulay poset of the same rank. A corresponding notion of edgewise Cohen--Macaulay connectivity for partially ordered sets is investigated. Examples and open questions are discussed.
Cite
@article{arxiv.1504.04062,
title = {Edgewise Cohen-Macaulay connectivity of partially ordered sets},
author = {Christos A. Athanasiadis and Myrto Kallipoliti},
journal= {arXiv preprint arXiv:1504.04062},
year = {2015}
}
Comments
Major revision, 11 pages, 3 figures