Remark on continuous collections
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- by Deane Montgomery PDF
- Proc. Amer. Math. Soc. 88 (1983), 367-370 Request permission
Abstract:
The result generalizes an earlier theorem of the author which showed that pointwise periodic homeomorphisms of a connected manifold are periodic.References
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A. V. Černavskii, Finite-to-one open mappings of manifolds, Amer. Math. Soc. Transl. (2) 100 (1971), 253-269.
L. McAuley and E. Robinson, On Newman’s theorem for finite-to-open one mappings on manifolds, 1981. (Preprint)
- Deane Montgomery, Pointwise Periodic Homeomorphisms, Amer. J. Math. 59 (1937), no. 1, 118–120. MR 1507223, DOI 10.2307/2371565 M. H. A. Newman, A theorem on periodic transformations of spaces, Quart. J. Math. Oxford Ser. (2) (1931), 1-8.
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 367-370
- MSC: Primary 54F62; Secondary 57S99
- DOI: https://doi.org/10.1090/S0002-9939-1983-0695277-1
- MathSciNet review: 695277