On the equivariant homotopy type of $G$-ANRs
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- by Sławomir Kwasik PDF
- Proc. Amer. Math. Soc. 83 (1981), 193-194 Request permission
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.References
- I. M. James and G. B. Segal, On equivariant homotopy type, Topology 17 (1978), no. 3, 267–272. MR 508889, DOI 10.1016/0040-9383(78)90030-7
- Takao Matumoto, Equivariant $K$-theory and Fredholm operators, J. Fac. Sci. Univ. Tokyo Sect. I A Math. 18 (1971), 109–125. MR 0290354
- Takao Matumoto, On $G$-$\textrm {CW}$ complexes and a theorem of J. H. C. Whitehead, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 18 (1971), 363–374. MR 345103
- Stefan Waner, Equivariant homotopy theory and Milnor’s theorem, Trans. Amer. Math. Soc. 258 (1980), no. 2, 351–368. MR 558178, DOI 10.1090/S0002-9947-1980-0558178-7
Additional Information
- © Copyright 1981 American Mathematical Society
- 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