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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Equivariant homotopy theory and Milnor's theorem


Author: Stefan Waner
Journal: Trans. Amer. Math. Soc. 258 (1980), 351-368
MSC: Primary 55P99; Secondary 55R05, 57S15
MathSciNet review: 558178
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Abstract: The foundations of equivariant homotopy and cellular theory are examined; an equivariant Whitehead theorem is proved, and the classical results by Milnor about spaces with the homotopy-type of a CW complex are generalized to the equivariant case. The ambient group G is assumed compact Lie. Further results include equivariant cellular approximation and the procedure for replacement of an arbitrary G-space by a G-CW complex.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0558178-7
PII: S 0002-9947(1980)0558178-7
Keywords: G-homotopy, fixed point set, isotopy subgroup, G-CW complex, G-equilocally convex, invariance of colimits
Article copyright: © Copyright 1980 American Mathematical Society