Fibrewise localization and completion

May, J. P.

doi:10.1090/S0002-9947-1980-0554323-8

Fibrewise localization and completion
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by J. P. May

Trans. Amer. Math. Soc. 258 (1980), 127-146

DOI: https://doi.org/10.1090/S0002-9947-1980-0554323-8

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Abstract:

The behavior of fibrewise localization and completion on the classifying space level is analyzed. The relationship of these constructions to fibrewise joins and smash products and to orientations of spherical fibrations is also analyzed. This theory is essential to validate Sullivan’s proof of the Adams conjecture.

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