Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Equivariant covering spaces and cohomology


Author: Stefan Waner
Journal: Proc. Amer. Math. Soc. 88 (1983), 351-356
MSC: Primary 55N91; Secondary 54H15
DOI: https://doi.org/10.1090/S0002-9939-1983-0695274-6
MathSciNet review: 695274
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The Bredon cohomology of classifying spaces for categories of equivariant covering spaces is considered and shown to correspond to derived functors for the coefficient systems of the Bredon theory.


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

  • [B1] G. E. Bredon, Equivariant cohomology theories, Lecture Notes in Math. vol. 34, Springer-Verlag, Berlin, 1967. MR 0214062 (35:4914)
  • [I1] S. Illman, Equivariant singular homology and cohomology. I, Mem. Amer. Math. Soc. No. 156 (1975), 1-74. MR 0375286 (51:11482)
  • [M1] J. P. May, Classifying spaces and fibrations, Mem. Amer. Math. Soc. No. 155 (1975). MR 0370579 (51:6806)
  • [W1] S. Waner, A generalization of the cohomology of groups, Proc. Amer. Math. Soc. 85 (1982), 469-474. MR 656126 (83i:18021)
  • [W2] -, Unoriented equivariant $ RO(G)$-graded bordism, Univ. of Virginia, 1981, preprint.
  • [W3] -, Oriented equivariant spherical fibrations, Trans. Amer. Math. Soc. 271 (1982), 313-324. MR 648095 (83g:57026)
  • [W4] -, Three topological categories of $ G$-sets, Univ. of Virginia, 1981, preprint.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55N91, 54H15

Retrieve articles in all journals with MSC: 55N91, 54H15


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0695274-6
Keywords: Equivariant covering spaces, bar resolution, Bredon cohomology, coefficient system, Hecke functor
Article copyright: © Copyright 1983 American Mathematical Society

American Mathematical Society