On distal and equicontinuous compact right topological groups

Paul Milnes

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-10

Abstract:

W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow ( λ G , G ) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case when G is topological. In the present paper, we continue this work, exhibiting new characterizations of equicontinuity and distality of ( λ G , G ) ; we also discuss examples and study some related matters.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:381809

DOI: 10.1155/S0161171294000529

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