A Suspension Lemma for Bounded Posets

LetPandQbe bounded posets. In this note, a lemma is introduced that provides a set of sufficient conditions for the proper part ofPbeing homotopy equivalent to the suspension of the proper part ofQ. An application of this lemma is a unified proof of the sphericity of the higher Bruhat orders under b...

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Bibliographic Details
Published in:Journal of combinatorial theory. Series A 1997-11, Vol.80 (2), p.374-379
Main Author: Rambau, Jörg
Format: Article
Language:English
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Summary:LetPandQbe bounded posets. In this note, a lemma is introduced that provides a set of sufficient conditions for the proper part ofPbeing homotopy equivalent to the suspension of the proper part ofQ. 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).
ISSN:0097-3165
1096-0899
DOI:10.1006/jcta.1997.2813