Classification of oriented equivariant spherical fibrations
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- by Stefan Waner PDF
- Trans. Amer. Math. Soc. 271 (1982), 313-324 Request permission
Abstract:
Classifying spaces for oriented equivariant spherical fibrations are constructed, and the notion of an equivariant $SF$-fibration is introduced. It is shown that equivariant $SF$-fibrations are naturally oriented in $RO(G)$-graded equivariant singular cohomology.References
- Tammo tom Dieck, Transformation groups and representation theory, Lecture Notes in Mathematics, vol. 766, Springer, Berlin, 1979. MR 551743 G. Lewis, J. P. May, J. McClure and S. Waner, Ordinary equivariant cohomology theory, Univ. of Chicago (in preparation).
- J. Peter May, $E_{\infty }$ ring spaces and $E_{\infty }$ ring spectra, Lecture Notes in Mathematics, Vol. 577, Springer-Verlag, Berlin-New York, 1977. With contributions by Frank Quinn, Nigel Ray, and Jørgen Tornehave. MR 0494077
- J. Peter May, Classifying spaces and fibrations, Mem. Amer. Math. Soc. 1 (1975), no. 1, 155, xiii+98. MR 370579, DOI 10.1090/memo/0155 —, Homotopic foundations of algebraic topology, Mimeographed notes, Univ. of Chicago.
- 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
- 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
- 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 —, $RO(G)$-graded equivariant singular cohomology, preprint, Univ. of Virginia, 1980. —, Oriented $G$-manifolds, preprint, Univ. of Virginia, 1980.
- Klaus Wirthmüller, Equivariant homology and duality, Manuscripta Math. 11 (1974), 373–390. MR 343260, DOI 10.1007/BF01170239 J. P. May, H. Hauschild and S. Waner, Equivariant infinite loop space theory (in preparation).
- R. Lashof and M. Rothenberg, $G$-smoothing theory, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 211–266. MR 520506
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 271 (1982), 313-324
- MSC: Primary 57S10; Secondary 55R05
- DOI: https://doi.org/10.1090/S0002-9947-1982-0648095-8
- MathSciNet review: 648095