A characterization of maximally almost periodic groups
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- by Ter Jenq Huang PDF
- Proc. Amer. Math. Soc. 75 (1979), 59-62 Request permission
Abstract:
It is proved that a topological group G is maximally almost periodic if and only if G admits an action $\pi$ on a compact Hausdorff space X such that the transformation group $(X,G,\pi )$ is equicontinuous and effective. Using this characterization, it is proved that if H is a closed uniform subgroup of a topological group G, then G is maximally almost periodic if and only if H is maximally almost periodic. The latter gives as corollaries the results of Kuranishi, Murakami, Grosser and Moskowitz concerning maximally almost periodic groups.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 59-62
- MSC: Primary 22A05; Secondary 43A60
- DOI: https://doi.org/10.1090/S0002-9939-1979-0529213-4
- MathSciNet review: 529213