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...
Gespeichert in:
| Veröffentlicht in: | Journal of combinatorial theory. Series A 1997-11, Vol.80 (2), p.374-379 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | 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 |