Taming free circle actions

Author:
Allan L. Edmonds

Journal:
Proc. Amer. Math. Soc. **62** (1977), 337-343

MSC:
Primary 57E10

MathSciNet review:
0431230

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9939-1977-0431230-8

Keywords:
Circle group,
wild action,
tame action,
concordance,
classification of group actions on manifolds

Article copyright:
© Copyright 1977
American Mathematical Society