Title

Transitive flows: A semigroup approach

Document Type

Article

Publication Date

1-1-1991

Abstract

. In this paper we characterize the universal pointed actions of a semigroup S on a compact space such that the orbit of the distinguished point is dense; such actions are called transitive. The characterization is given in terms of the universal right topological monoidal compactification of S. All transitive actions are shown to arise as quotients modulo left congruences on this universal compactification. Minimal actions are considered, and close connections between these and minimal left ideals of the compactification are derived. © 1991, University College London. All rights reserved.

Publication Source (Journal or Book title)

Mathematika

First Page

348

Last Page

361

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