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Nonmetrizable topological dynamical characterization of central sets

Tom 150 / 1996

Fundamenta Mathematicae 150 (1996), 1-9 DOI: 10.4064/fm-150-1-1-9

Streszczenie

Without the restriction of metrizability, topological dynamical systems $(X,⟨ T_s⟩_{s ∈ G})$ are defined and uniform recurrence and proximality are studied. Some well known results are generalized and some new results are obtained. In particular, a topological dynamical characterization of central sets in an arbitrary semigroup (G,+) is given and shown to be equivalent to the usual algebraic characterization.

Autorzy

• Hong-Ting Shi
• Hong-Wei Yang

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