Obstruction theory with coefficients in a spectrum

Mahowald, Mark; Rigdon, Robert

doi:10.1090/S0002-9947-1975-0488058-5

Obstruction theory with coefficients in a spectrum
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by Mark Mahowald and Robert Rigdon

Trans. Amer. Math. Soc. 204 (1975), 365-384

DOI: https://doi.org/10.1090/S0002-9947-1975-0488058-5

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Abstract:

In this paper an obstruction theory with coefficients in a spectrum is developed. An idea of orientability of a fiber bundle with respect to a spectrum is introduced and for bundles orientable with respect to the spectrum a resolution is produced which corresponds to a modified Postnikov tower in the classical case.

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