Ergodic sets and mixing extensions of topological transformation semigroups
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GERKO, Anatoly. Ergodic sets and mixing extensions of topological transformation semigroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 2(42), pp. 87-94. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(42) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322

Ergodic sets and mixing extensions of topological transformation semigroups

Pag. 87-94

Gerko Anatoly
 
Moldova State University
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

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 and minimality of the Whitney’s sum of extensions of topological transformation semi- groups.

Cuvinte-cheie
ergodic, distal,

mixing, transformation semigroup