Obstructions to Shellability
Combinatorics
2008-02-03 v1
Abstract
We consider a simplicial complex generaliztion of a result of Billera and Meyers that every nonshellable poset contains the smallest nonshellable poset as an induced subposet. We prove that every nonshellable -dimensional simplicial complex contains a nonshellable induced subcomplex with less than vertices. We also establish CL-shellability of interval orders and as a consequence obtain a formula for the Betti numbers of any interval order.
Cite
@article{arxiv.math/9707216,
title = {Obstructions to Shellability},
author = {Michelle L. Wachs},
journal= {arXiv preprint arXiv:math/9707216},
year = {2008}
}