The BP homology of 𝐻-spaces

Kane, Richard

doi:10.1090/S0002-9947-1978-0478143-9

The BP homology of $H$-spaces
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by Richard Kane

Trans. Amer. Math. Soc. 241 (1978), 99-119

DOI: https://doi.org/10.1090/S0002-9947-1978-0478143-9

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Abstract:

The BP homology of 1-connected H-spaces whose loop space is torsion free is studied. It is shown that localizing in a suitable manner kills all torsion in $B{P_{\ast }}(X)$. Similar results are then obtained for the bordism of X. Finally the K-theory of X is shown to have no p torsion.

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