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

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

2007-07-29

arxiv.org/abs/0707.4316v1

Mathematics

Geometric Topology

8 pages, 3 figures

Scientific paper

M. 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.

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