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Proceedings of the American Mathematical Society

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



Relations in stable homotopy modules

Author: Donald W. Kahn
Journal: Proc. Amer. Math. Soc. 40 (1973), 253-259
MSC: Primary 55E45
MathSciNet review: 0436139
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Abstract: The ``generating hypothesis'' of Freyd implies various fascinating statements in stable homotopy, particularly about the stable homotopy ring of spheres and the modules over this ring. The present paper extends some of these consequences. It also investigates the question of whether a possible counterexample to the hypothesis might be detected by its action on homology groups; for this, we find a connection with work of Joel Cohen on coherent graded rings.

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Keywords: Stable homotopy modules, generating hypothesis
Article copyright: © Copyright 1973 American Mathematical Society

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