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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Towers and injective cohomology algebras


Authors: Paul Goerss and Larry Smith
Journal: Trans. Amer. Math. Soc. 303 (1987), 619-636
MSC: Primary 55P15; Secondary 55S35
MathSciNet review: 902789
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Abstract: Let $ Y$ be a space of finite type such that $ {H^{\ast}}Y$ is injective as an unstable algebra over the Steenrod algebra $ A$ and such that $ {\overline H ^{\ast}}Y$ is $ A$-unbounded. Let $ X$ be a simply connected $ p$-complete space. Then any map of $ A$-algebras $ f:{H^{\ast}}\Omega X \to {H^{\ast}}Y$ can be realized as a map of spaces.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0902789-X
PII: S 0002-9947(1987)0902789-X
Article copyright: © Copyright 1987 American Mathematical Society