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1999 Spring Topology Conference
March 18-20, 1999
University of Utah
Salt Lake City, UT, USA

Organizers
Mladen Bestvina, Greg Conner, Misha Kapovich, Bruce Kleiner

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A CAT(0) space with uncountably many boundaries
by
Julia Wilson
University of Wisconsin, Milwaukee

Croke and Kleiner constructed an example of two CAT(0) 2-complexes that are homeomorphic but whose visual boundaries at infinity are not homeomorphic. In fact this construction yields an uncountable number of such spaces with topologically distinct boundaries. There is a right-angled Artin group which acts geometrically on these spaces, so that there are uncountably many different boundaries associated to this group.

Date received: February 15, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caca-40.