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Transactions of the American Mathematical Society

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

 

 

The BP homology of $ H$-spaces


Author: Richard Kane
Journal: Trans. Amer. Math. Soc. 241 (1978), 99-119
MSC: Primary 55D45
MathSciNet review: 0478143
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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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DOI: https://doi.org/10.1090/S0002-9947-1978-0478143-9
Keywords: H-space, BP homology, bordism, K-theory, cohomology operations, Hopf algebra
Article copyright: © Copyright 1978 American Mathematical Society