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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The $ H$-deviation of a lift


Author: Frank Williams
Journal: Proc. Amer. Math. Soc. 104 (1988), 1291-1295
MSC: Primary 55P45; Secondary 55P35, 55S20
MathSciNet review: 931748
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Abstract: Let $ X$ be an $ H$-space, $ x \in X$ a primitive element, and $ \alpha $ a stable primary operation that vanishes on $ x$. Let $ y$ represent $ x$ in $ {H^*}({P_2}X)$. ($ {P_2}X$ is the projective plane of $ X$.) Let $ \tilde D$ be the $ H$-deviation of the lift of $ x$ to the two-stage Postnikov system with $ k$-invariant $ \alpha $. We obtain a formula that relates $ \tilde D$ to the representation of $ \alpha (y)$ as a product in $ {H^*}({P_2}X)$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0931748-2
PII: S 0002-9939(1988)0931748-2
Keywords: $ H$-space, $ H$-deviation, projective plane
Article copyright: © Copyright 1988 American Mathematical Society