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Construction of ANR topologies on certain groups
Author(s):
Bernd
Günther
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2777-2778.
MSC (1991):
Primary 54H11, 54C55, 22A05
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Abstract:
A method is shown to construct ANR-topologies on topological groups of suitable homotopy type.
References:
- 1.
- R. Cauty: Un espace métrique linéaire qui n'est pas un réracte absolu; Fund. Math. 146 (1994) 85-99. MR 95j:54022
- 2.
- A. Dold, R. Thom: Quasifaserungen und unendliche symmetrische Produkte; Ann. of Math. 67 (1958) 239-281. MR 20:3542
- 3.
- W.E. Haver: Locally contractible spaces that are absolute neighborhood retracts; Proc. Amer. Math. Soc. 40 (1973) 280-284. MR 48:9645
- 4.
- G. Kozlowski: Factorization of Certain Maps up to Homotopy; Proc. Amer. Math. Soc. 21 (1969) 88-92. MR 38:6588
- 5.
- J.P. May: Simplicial Objects in Algebraic Topology; University of Chicago Press, Midway Reprint (1992). MR 93m:55025
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Additional Information:
Bernd
Günther
Affiliation:
Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Robert-Mayer- Straße 6--10, 60054 Frankfurt, Germany
Email:
guenther@mathematik.uni-frankfurt.d400.de
DOI:
10.1090/S0002-9939-97-04114-2
PII:
S 0002-9939(97)04114-2
Keywords:
Homotopy type of topological groups,
ANR-spaces,
CW-complexes
Received by editor(s):
April 1, 1996
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1997,
American Mathematical Society
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