Volume 8, issue 3 (2008)

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

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Examples of non-rigid CAT(0) groups from the category of knot groups

Christopher Paul Mooney

Algebraic & Geometric Topology 8 (2008) 1667–1690
Abstract

C Croke and B Kleiner have constructed an example of a CAT(0) group with more than one visual boundary. J Wilson has proven that this same group has uncountably many distinct boundaries. In this article we prove that the knot group of any connected sum of two non-trivial torus knots also has uncountably many distinct CAT(0) boundaries.

Keywords
CAT(0) groups, CAT(0) boundaries, knot groups
Mathematical Subject Classification 2000
Primary: 57M07, 20F65
References
Publication
Received: 14 June 2007
Revised: 30 May 2008
Accepted: 31 July 2008
Published: 8 October 2008
Authors
Christopher Paul Mooney
Department of Mathematical Sciences
University of Wisconsin-Milwaukee
PO Box 413
Milwaukee
Wisconsin 53201-0413
USA