Geodesic
Nonmetrizable topological dynamical characterization of central sets
Fundamenta Mathematicae, Tome 150 (1996) no. 1, pp. 1-9
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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.
DOI : 10.4064/fm-150-1-1-9
Keywords: topological dynamical system, enveloping semigroup, uniform recurrence, proximality, minimal idempotent, central subset 
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Hong-Ting Shi; Hong-Wei Yang. Nonmetrizable topological dynamical characterization of central sets. Fundamenta Mathematicae, Tome 150 (1996) no. 1, pp. 1-9. doi: 10.4064/fm-150-1-1-9

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