The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
Sergey A. Antonyan; Erik Elfving
Banach Center Publications (2009)
- Volume: 85, Issue: 1, page 155-178
- ISSN: 0137-6934
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topSergey A. Antonyan, and Erik Elfving. "The equivariant homotopy type of G-ANR's for proper actions of locally compact groups." Banach Center Publications 85.1 (2009): 155-178. <http://eudml.org/doc/282068>.
@article{SergeyA2009,
abstract = {We prove that if G is a locally compact Hausdorff group then every proper G-ANR space has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.},
author = {Sergey A. Antonyan, Erik Elfving},
journal = {Banach Center Publications},
keywords = {proper action; -ANR; -CW complex; -nerve; -homotopy type},
language = {eng},
number = {1},
pages = {155-178},
title = {The equivariant homotopy type of G-ANR's for proper actions of locally compact groups},
url = {http://eudml.org/doc/282068},
volume = {85},
year = {2009},
}
TY - JOUR
AU - Sergey A. Antonyan
AU - Erik Elfving
TI - The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 155
EP - 178
AB - We prove that if G is a locally compact Hausdorff group then every proper G-ANR space has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.
LA - eng
KW - proper action; -ANR; -CW complex; -nerve; -homotopy type
UR - http://eudml.org/doc/282068
ER -
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