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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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The rigidity problem for stable spaces
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by Donald W. Kahn PDF
Proc. Amer. Math. Soc. 75 (1979), 139-144 Request permission

Abstract:

This note treats the problem of when the group of homotopy self-equivalences of a space is trivial. For stable spaces, with finitely many nonvanishing homotopy groups, we give a complete solution in an inductive sense. One of the consequences of this result is that for any stable space, with precisely two nonvanishing homotopy groups, the group of self-equivalences is nontrivial.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 75 (1979), 139-144
  • MSC: Primary 55P10; Secondary 55P42
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0529230-4
  • MathSciNet review: 529230