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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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Taming free circle actions
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by Allan L. Edmonds PDF
Proc. Amer. Math. Soc. 62 (1977), 337-343 Request permission

Abstract:

It is shown that an arbitrary free action of the circle group on a closed manifold of dimension at least six is concordant to a “tame” action (so that the orbit space is a manifold). A consequence is that the concordance classification of arbitrary free actions of the circle on a simply connected manifold is the same as the equivariant homeomorphism classification of free tame actions.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 62 (1977), 337-343
  • MSC: Primary 57E10
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0431230-8
  • MathSciNet review: 0431230