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The classical theory of dynamical systems arose in the context of the study of dierential equations. In recent years the study of these systems has been extended beyond discrete or continuous (real) phase groups or semi-groups to the theory of ows of more general topological groups or semigroups. Let S be a semitopological semigroup, not necessarily… (More)
Let S be topological semigroup, we consider an appropriate semi-group compactication b S of S. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of b S, which arise as equivalence classes of some closed left congruence, and the minimal ow characterized by the left congruence. A particular topology is dened on… (More)