64 research outputs found
A Suspension Lemma for Bounded Posets
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)
- …