Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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    ERGODIC SETS AND MIXING EXTENSIONS OF TOPOLOGICAL TRANSFORMATION SEMIGROUPS
    (Institutul de Matematică şi Informatică al AŞM, 2003) Gerco, Anatolie
    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