Nonmetrizable topological dynamical characterization of central sets
Volume 150 / 1996
Fundamenta Mathematicae 150 (1996), 1-9
DOI: 10.4064/fm-150-1-1-9
Abstract
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.
