Volume 17, issue 1 (2013)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Spherical subcomplexes of spherical buildings

Bernd Schulz

Geometry & Topology 17 (2013) 531–562
Abstract

Let Δ be a thick, spherical building equipped with its natural CAT(1) metric and let M be a proper, convex subset of Δ. If M is open or if M is a closed ball of radius π2, then Λ, the maximal subcomplex supported by Δ M, is dimΛ–spherical and non-contractible.

Keywords
spherical building, Cohen–Macaulay, connectivity
Mathematical Subject Classification 2000
Primary: 51E24
Secondary: 11F75
References
Publication
Received: 22 August 2010
Accepted: 12 June 2012
Published: 5 April 2013
Proposed: Martin R Bridson
Seconded: Walter Neumann, Jean-Pierre Otal
Authors
Bernd Schulz
Tulpenhofstraße 31
63067 Offenbach
Germany