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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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$H$-spaces and the suspension homomorphism


Author: H. B. Haslam
Journal: Proc. Amer. Math. Soc. 26 (1970), 689-694
MSC: Primary 55.40
DOI: https://doi.org/10.1090/S0002-9939-1970-0273609-7
MathSciNet review: 0273609
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Abstract: If a space $X$ is an $H$-space, then the homotopy suspension homomorphism is a monomorphism onto a direct factor in all dimensions. We present an example to show that the converse is false.


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Keywords: <IMG WIDTH="24" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$H$">-space, suspension homomorphism
Article copyright: © Copyright 1970 American Mathematical Society