Geodesic
Ergodic sets and mixing extensions of topological transformation semigroups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2003), pp. 87-94

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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. 
@article{BASM_2003_2_a7,
     author = {A. I. Gherco},
     title = {Ergodic sets and mixing extensions of topological transformation semigroups},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {87--94},
     publisher = {mathdoc},
     number = {2},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2003_2_a7/}
}
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A. I. Gherco. Ergodic sets and mixing extensions of topological transformation semigroups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2003), pp. 87-94. http://geodesic.mathdoc.fr/item/BASM_2003_2_a7/