ERGODIC SETS AND MIXING EXTENSIONS OF TOPOLOGICAL TRANSFORMATION SEMIGROUPS

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2003

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Institutul de Matematică şi Informatică al AŞM

Abstract

We extend the concept of the ergodic set [1] – [2] from topological trans-formation groups to topological transformation semigroups. We investigate, in par-ticular, connections between ergodicity, weak ergodicity, topological transitivity andminimality of the Whitney’s sum of extensions of topological transformation semi-groups

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ergodic, distal, transformation semigroup

Citation

GHERCO, Anatolie. Ergodic sets and mixing extensions of topological transformation semigroups. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2003, nr. 2(42), pp. 87-94. ISSN 1024-7696.

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