Systems of fixed point sets-Reference-Cited by-同舟云学术

Systems of fixed point sets

Published:1983 Issue:1 Volume:277 Page:275-284
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Elmendorf A. D.

Abstract

Let G G be a compact Lie group. A canonical method is given for constructing a G G -space from homotopy theoretic information about its fixed point sets. The construction is a special case of the categorical bar construction. Applications include easy constructions of certain classifying spaces, as well as G G -Eilenberg-Mac Lane spaces and Postnikov towers.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1983-277-01/S0002-9947-1983-0690052-0/S0002-9947-1983-0690052-0.pdf

Reference7 articles.

1. Lecture Notes in Mathematics, No. 34;Bredon, Glen E.,1967

2. Lecture Notes in Mathematics;tom Dieck, Tammo,1979

3. Equivariant singular homology and cohomology. I;Illman, Sören;Mem. Amer. Math. Soc.,1975

4. J. McClure, Some remarks on Elmendorf’s construction (preprint).

5. Classifying spaces and fibrations;May, J. Peter;Mem. Amer. Math. Soc.,1975

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