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

Christopher Mooney. "All CAT(0) boundaries of a group of the form H × K are CE equivalent." Fundamenta Mathematicae 203.2 (2009): 97-106. <http://eudml.org/doc/282599>.

@article{ChristopherMooney2009,
abstract = {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.},
author = {Christopher Mooney},
journal = {Fundamenta Mathematicae},
keywords = {CAT(0) space; CAT(0) boundary; group boundary CAT(0) group; shape equivalence; cell-like equivalence},
language = {eng},
number = {2},
pages = {97-106},
title = {All CAT(0) boundaries of a group of the form H × K are CE equivalent},
url = {http://eudml.org/doc/282599},
volume = {203},
year = {2009},
}

TY - JOUR
AU - Christopher Mooney
TI - All CAT(0) boundaries of a group of the form H × K are CE equivalent
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 2
SP - 97
EP - 106
AB - 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.
LA - eng
KW - CAT(0) space; CAT(0) boundary; group boundary CAT(0) group; shape equivalence; cell-like equivalence
UR - http://eudml.org/doc/282599
ER -