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.
POSITIVELY SUBEXPANSIVE DYNAMICAL SYSTEMS
Fedeli, A
2020-01-01
Abstract
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.File in questo prodotto:
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Fedeli-Rep.Math.Phys. 86 (2020) 209-218.pdf
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