On the complex bordism of Eilenbeg-Mac Lane spaces and connective coverings of 𝐵𝑈

Landweber, Peter S.

doi:10.1090/S0002-9947-1971-0275434-5

On the complex bordism of Eilenbeg-Mac Lane spaces and connective coverings of $\textrm {BU}$
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Trans. Amer. Math. Soc. 157 (1971), 63-71 Request permission

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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