Volume 17, issue 1 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
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