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.
Faculty of Mathematics and Informatics
State University of Moldova
A. Mateevich Street 60
MD-2009 Chisinau, Moldova
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