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Proceedings of the American Mathematical Society

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Cohomology of fibre spaces with group bundle coefficients

Author: M. V. Mielke
Journal: Proc. Amer. Math. Soc. 39 (1973), 629-632
MSC: Primary 55F20
MathSciNet review: 0317326
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Abstract: The purpose of this paper is to construct a resolution of a group bundle $ \gamma $, a classifying spectrum for a cohomology functor $ {H^\ast }(;\gamma )$ (coefficients in $ \gamma $) defined on a category of fibre spaces, and to clarify and note some implications of the close relationship between these two constructions.

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

  • [1] Glen E. Bredon, Sheaf theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0221500
  • [2] A. Grothendieck, A general theory of fibre spaces with structure sheaf, NSF Research Project Report No. 4, University of Kansas, Lawrence, Kan., 1958.
  • [3] M. Mielke, Universal fibre bundles of group bundles (to appear).
  • [4] N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967), 133–152. MR 0210075

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Keywords: Cohomology, group bundle, resolution, spectra
Article copyright: © Copyright 1973 American Mathematical Society