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On almost rational co-$ H$-spaces

Author: Hans-Werner Henn
Journal: Proc. Amer. Math. Soc. 87 (1983), 164-168
MSC: Primary 55P45
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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Keywords: Almost rational co-$ H$-spaces
Article copyright: © Copyright 1983 American Mathematical Society

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