A suspension lemma for bounded posets

[摘要] Let P and Q be bounded posets. In this note, a lemma is introduced that provides a set of sufficient conditions for the proper part of P being homotopy equivalent to the suspension of the proper part of Q. An application of this lemma is a unified proof of the sphericity of the higher Bruhat orders under both inclusion order (which is a known result and single step inclusion order (which was not known so far). (C) 1997 Academic Press.

[发布日期] 1997-11-01