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Positively subexpansive dynamical systems. (English) Zbl 1498.37010

Summary: In this paper we start the investigation of a metric-related weakening of positive expansiveness. We will show some of its fundamental properties and relation to notions such as weak positive expansiveness and cover expansiveness. Finally, we will see how to use the Bing-Hanner modification to produce examples of positively subexpansive dynamical systems with nonmetrizable phase space.

MSC:

37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
37B02 Dynamics in general topological spaces
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