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Transactions of the American Mathematical Society

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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
DOI: https://doi.org/10.1090/S0002-9947-1971-0275434-5
MathSciNet review: 0275434
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Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1971-0275434-5
Keywords: Complex bordism, Eilenberg-Mac Lane spectra, connective BU-spectrum, Koszul resolution, Hurewicz homomorphisms for MU
Article copyright: © Copyright 1971 American Mathematical Society

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