Transfer and the spectral sequence of a fibration
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- by Carlos Prieto PDF
- Trans. Amer. Math. Soc. 271 (1982), 133-142 Request permission
Abstract:
The purpose of this paper is to show that transfers for fibrations behave well with respect to spectral sequences which are induced by filtrations of the base space. In particular, for the spectral sequence of a fibration (induced by the skeletal filtration of the base space), one obtains the expected effect on the ${E_2}$-terms: We prove that the transfer in the ${E_2}$-terms is determined by the transfer of the fiber (considered trivially as a fibration over a point). As an application, results of Atiyah on the $K$-theory of classifying spaces are transcribed to generalized cohomology theories.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 271 (1982), 133-142
- MSC: Primary 55R12; Secondary 55R20
- DOI: https://doi.org/10.1090/S0002-9947-1982-0648082-X
- MathSciNet review: 648082