The crosscut poset
Combinatorics
2022-05-17 v1
Abstract
We introduce a new combinatorial invariant, which we call crosscut poset, that is finer than the crosscut complex. We exhibit many applications of the crosscut poset which include a generalization of Bj\"orner's crosscut theorem and two results concerning the fixed point property and the fixed simplex property.
Cite
@article{arxiv.2205.07072,
title = {The crosscut poset},
author = {Miguel Ottina},
journal= {arXiv preprint arXiv:2205.07072},
year = {2022}
}
Comments
12 pages. The arXiv article arXiv:2006.11800v1 has been split into two parts. This article corresponds to the first of those parts