Research articles

Ergodic sets and mixing extensions of topological transformation semigroups

A. I. Gherco

Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova

Abstract: We extend the concept of the ergodic set [1]–[2] from topological transformation groups to topological transformation semigroups. We investigate, in particular, connections between ergodicity, weak ergodicity, topological transitivity and minimality of the Whitney's sum of extensions of topological transformation semigroups.

Keywords and phrases: ergodic, mixing, distal, transformation semigroup.

MSC: 37B05, 54H15

Received: 31.12.2002

Language: English

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