Homotopy properties of certain complexes associated to spherical buildings.
type: Item
instance of: scholarly article
title: Homotopy properties of certain complexes associated to spherical buildings.
zbMATH Open document ID: 1046.55011
DOI: 10.1007/BF02773075
author: Anja von Heydebreck
published in: Israel Journal of Mathematics
publication date: 2003-09-23T00:00:00Z
review text: The author shows that the complex \(Opp \Delta\) of ordered pairs of opposite simplices in a spherical building \(\Delta\) is spherical, i.e., \((n-1)\) -connected, when \(n\) is the common dimension of \(\Delta\) and \(Opp \Delta\). As a corollary she obtains that \(Opp \Delta\) is even homotopy Cohen-Macaulay.
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 20J05
zbMATH DE Number: 1910277
zbMATH Keywords: building
zbMATH Keywords: simplices
zbMATH Keywords: simplicial complex
reviewed by: Saïd Zarati
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1910277