Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Equivariant fibrations and transfer

Author: Stefan Waner
Journal: Trans. Amer. Math. Soc. 258 (1980), 369-384
MSC: Primary 55P99; Secondary 55R05, 57S15
MathSciNet review: 558179
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The basic properties of equivariant fibrations are described, including an equivariant version of the Ďold Theorem. The foundations of equivariant stable homotopy theory are described, and the theory of equivariant transfer is developed.

References [Enhancements On Off] (What's this?)

  • [Be1] J. C. Becker and D. G. Gottlieb, Transfer and duality, Purdue Univ. (preprint).
  • [Di1] T. tom Dieck, The Burnside ring and equivariant stable homotopy, University of Chicago, Chicago, Ill., 1974 (mimeographed notes). MR 0423389 (54:11368)
  • [Ma1] J. P. May, Homotopic foundations of algebraic topology, University of Chicago, Chicago, Ill., (mimeographed notes).
  • [Ma2] -, Classifying spaces and fibrations, Mem. Amer. Math. Soc. No. 155, 1975. MR 0370579 (51:6806)
  • [MHW] J. P. May, H. Hauschild and S. Waner, Equivariant infinite loop spaces (in preparation).
  • [Mi1] J. Milnor, On spaces having the homotopy type of a CW complex, Trans. Amer. Math. Soc. 90 (1959), 272-280. MR 0100267 (20:6700)
  • [Ni1] G. Nishida, On the equivariant J-groups and equivariant stable homotopy types of representations of finite groups, Kyoto (preprint).
  • [Sc1] R. Schön, Fibrations over a CWh-base, Proc. Amer. Math. Soc. 62 (1977), 165-166.
  • [St1] J. D. Stasheff, A classification theorem for fibre spaces, Topology 2 (1963), 239-246. MR 0154286 (27:4235)
  • [Wa1] S. Waner, Equivariant homotopy theory and Milnor's Theorem, Trans. Amer. Math. Soc. 258 (1980), 351-368. MR 558178 (82m:55016a)
  • [Wa2] -, Classification of equivariant fibrations, Trans. Amer. Math. Soc. (to appear)
  • [Wa3] -, The equivariant approximation theorem, Princeton Univ. (preprint).
  • [Wa4] -, Cyclic group actions and the Adams conjecture, Princeton Univ. (preprint).
  • [Wi1] K. Wirthmüller, Equivariant S-duality, Arch. Math. 26 (1975), 427-431. MR 0375297 (51:11493)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55P99, 55R05, 57S15

Retrieve articles in all journals with MSC: 55P99, 55R05, 57S15

Additional Information

Keywords: G-fibrations, fiberwise, equivalence, stable G-equivalence, isotopy subgroup, transfer, fiberwise G-duality, equivariant cohomology
Article copyright: © Copyright 1980 American Mathematical Society

American Mathematical Society