On distal and equicontinuous compact right topological groups

International Journal of Mathematics and Mathematical Sciences

PaulMilnes¹ 

[1] University of Western Ontario, Ontario, London N6A 5B7, Canada;

关键词: compact group;    one-sided continuity;    equicontinuous flow;    distal flow.;   

DOI  :  10.1155/S0161171294000529

来源: DOAJ

【 摘 要 】

W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (λG,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 (λG,G); we also discuss examples and study some related matters.

【 授权许可】

Unknown