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Nonmetrizable topological dynamical characterization of central sets

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Shi H.-T., Yang H.-W.

Fundamenta Mathematicae

1996

tom 150

nr 1

1-9

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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Shi H.-T.

1 Yang H.-W.

1 1996

Wyniki wyszukiwania

Nonmetrizable topological dynamical characterization of central sets