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Equivariant homotopy theory and Milnor’s theorem

Equivariant homotopy theory and Milnor’s theorem

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 <italic>G</italic> is assumed compact Lie. Further results include equivariant cellular …