All CAT(0) boundaries of a group of the form H × K are CE equivalent

• Autorzy: Christopher Mooney
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20F65: Geometric group theory
• 54C56: Shape theory
• 57M07: Topological methods in group theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 2
• Strony: 97-106

Daty

wydano

2009

Twórcy

autor

Christopher Mooney

• Department of Mathematics, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043, U.S.A.

Identyfikatory

DOI

10.4064/fm203-2-1