A Suspension Lemma for Bounded Posets
组合数学
2016-09-07 v1
摘要
Let and be bounded posets. In this note, a lemma is introduced that provides a set of sufficient conditions for the proper part of being homotopy equivalent to the suspension of the proper part of~. An application of this lemma is a unified proof of the sphericity of the higher Bruhat orders under both inclusion order (a known proved earlier by Ziegler) and single step inclusion order (which was not previously known).
引用
@article{arxiv.math/9703212,
title = {A Suspension Lemma for Bounded Posets},
author = {Jörg Rambau},
journal= {arXiv preprint arXiv:math/9703212},
year = {2016}
}