Almost periodic homeomorphisms and -adic transformation groups on compact -manifolds

Author:
Joo S. Lee

Journal:
Proc. Amer. Math. Soc. **121** (1994), 267-273

MSC:
Primary 57M60; Secondary 57S20, 57S25

DOI:
https://doi.org/10.1090/S0002-9939-1994-1233977-2

MathSciNet review:
1233977

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we prove that regularly almost periodic is equivalent to nearly periodic for homeomorphisms on compact metric spaces and give an example to show that the above is false without the compactness assumption. We also prove that the following statement is equivalent to the Hilbert-Smith conjecture on compact 3-manifolds : If *h* is almost periodic on , with *h* = identity on , then *h* = identity on .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1994-1233977-2

Keywords:
Manifold,
almost periodic homeomorphism,
the Hilbert-Smith conjecture

Article copyright:
© Copyright 1994
American Mathematical Society