Equivariant homotopy theory and Milnor’s theorem

Waner, Stefan

doi:10.1090/S0002-9947-1980-0558178-7

Equivariant homotopy theory and Milnor’s theorem
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by Stefan Waner

Trans. Amer. Math. Soc. 258 (1980), 351-368

DOI: https://doi.org/10.1090/S0002-9947-1980-0558178-7

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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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