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Proceedings of the American Mathematical Society

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On the equivariant homotopy type of $ G$-ANRs


Author: Sławomir Kwasik
Journal: Proc. Amer. Math. Soc. 83 (1981), 193-194
MSC: Primary 57S10; Secondary 57S15
DOI: https://doi.org/10.1090/S0002-9939-1981-0620011-9
MathSciNet review: 620011
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Abstract: I show that every metric $ G$- $ {\text{ANR}}$ has the $ G$-homotopy type of a $ G$- $ {\text{CW}}$ complex. Therefore I. James and G. Segal's results concerning equivariant homotopy type are special cases of the Whitehead theorem for $ G$- $ {\text{CW}}$ complexes.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0620011-9
Article copyright: © Copyright 1981 American Mathematical Society

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