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Some Pontrjagin rings, I

Published online by Cambridge University Press:  14 November 2011

J. R. Hubbuck
J. R. Hubbuck
Affiliation:
Department of Mathematics, University of Aberdeen, Edward Wright Building, Aberdeen AB9 2TY
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Synopsis

The H-spaces considered have no homology p-torsion and are rationally equivalent as H-spaces to products of even dimensional Eilenberg–Maclane spaces. We obtain conditions which ensure that if the cohomology with coefficients in the ring of integers localized at the prime p is a polynomial algebra, then the Pontrjagin ring with these same coefficients is polynomial. A topological consequence is that BSUP has just one homotopy associative, homotopy commutative H-structure.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 237 - 256
Copyright
Copyright © Royal Society of Edinburgh 1981

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