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Proceedings of the American Mathematical Society

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

 

 

On almost rational co-$ H$-spaces


Author: Hans-Werner Henn
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1983-0677254-X
Keywords: Almost rational co-$ H$-spaces
Article copyright: © Copyright 1983 American Mathematical Society