Geodesic
All ${\rm {CAT(0)}}$ boundaries of a group of the form $H\times K$ are CE equivalent
Christopher Mooney1
1 Department of Mathematics 2074 East Hall 530 Church Street Ann Arbor, MI 48109-1043, U.S.A.
Fundamenta Mathematicae, Tome 203 (2009) no. 2, pp. 97-106.

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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.
DOI : 10.4064/fm203-2-1
Keywords: bestvina has shown given torsion free cat group its boundaries shape equivalent posed question whether satisfy stronger condition being cell like equivalent article prove answer yes situation where group question splits direct product infinite factors accomplish proving interesting theorem shape theory

Christopher Mooney 1

1 Department of Mathematics 2074 East Hall 530 Church Street Ann Arbor, MI 48109-1043, U.S.A. 
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Christopher Mooney. All ${\rm {CAT(0)}}$ boundaries of a group
 of the form $H\times K$ are CE equivalent. Fundamenta Mathematicae, Tome 203 (2009) no. 2, pp. 97-106. doi : 10.4064/fm203-2-1. http://geodesic.mathdoc.fr/articles/10.4064/fm203-2-1/

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