Cohomology of fibre spaces with group bundle coefficients
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- by M. V. Mielke PDF
- Proc. Amer. Math. Soc. 39 (1973), 629-632 Request permission
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
- Glen E. Bredon, Sheaf theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0221500 A. Grothendieck, A general theory of fibre spaces with structure sheaf, NSF Research Project Report No. 4, University of Kansas, Lawrence, Kan., 1958. M. Mielke, Universal fibre bundles of group bundles (to appear).
- N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967), 133–152. MR 210075
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 629-632
- MSC: Primary 55F20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0317326-6
- MathSciNet review: 0317326