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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On almost rational co-$H$-spaces
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by Hans-Werner Henn PDF
Proc. Amer. Math. Soc. 87 (1983), 164-168 Request permission

Abstract:

Let $X$ be a $0$-connected co-$H$-space whose homotopy groups ${\pi _n}(X)$ are $Q$ vector spaces if $n > 1$ and whose fundamental group ${\pi _1}(X)$ is arbitrary. We prove that $X$ is homotopy equivalent to a wedge of rational spheres of dimension at least two and of ordinary one-dimensional spheres.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 87 (1983), 164-168
  • MSC: Primary 55P45
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0677254-X
  • MathSciNet review: 677254