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Julia M. Wilson

A CAT(0) group with uncountably many distinct boundaries

Croke and Kleiner [5] gave a construction for a family {X_? : 0 < ? ? ?/2} of CAT(0) spaces that each admit a geometric action by the same group G. They showed that ?X_? ? ?X_?/2 for all ? < ?/2. We show that in fact ?X_? ? ?X_? for all ? ? ?, so that G is a CAT(0) group with uncountably many non-homeomorphic boundaries.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 8, 03/2005
Pages: 229 - 238

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