All CAT(0) Boundaries of a Group of the Form HxK are CE Equivalent

Simple item page
dc.creatorMooney, Christopher
dc.date2007-07-29
dc.date.accessioned2026-07-07T08:20:58Z
dc.date.available2026-07-07T08:20:58Z
dc.descriptionM. Bestvina has shown that for any given torsion-free CAT(0) group G, all of its boundaries are shape equivalent. He then posed the question of whether they satisfy the stronger condition of being cell-like equivalent. In this article we prove that the answer is "Yes" in the situation where the group in question splits as a direct product with infinite factors. We accomplish this by proving an interesting theorem in shape theory.
dc.description8 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0707.4316
dc.identifierhttp://arxiv.org/abs/0707.4316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135222
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M07, 54C56.
dc.titleAll CAT(0) Boundaries of a Group of the Form HxK are CE Equivalent
dc.typetext

Files

Collections

arXiv