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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the complex bordism of Eilenbeg-Mac Lane spaces and connective coverings of $ {\rm BU}$

Author: Peter S. Landweber
Journal: Trans. Amer. Math. Soc. 157 (1971), 63-71
MSC: Primary 55.52; Secondary 57.00
MathSciNet review: 0275434
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Abstract: Explicit computations show that the universal coefficient spectral sequence from complex bordism to integral homology collapses for the spectra $ K(Z)$ and bu, and also for their $ \bmod p$ reductions. Moreover the complex bordism modules of these spectra have infinite projective dimension.

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Keywords: Complex bordism, Eilenberg-Mac Lane spectra, connective BU-spectrum, Koszul resolution, Hurewicz homomorphisms for MU
Article copyright: © Copyright 1971 American Mathematical Society