1,721,171 research outputs found
POSITIVELY SUBEXPANSIVE DYNAMICAL SYSTEMS
No full textIn 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
On quasi-continuous dynamical systems and transitivity
No full textThis paper is a contribution to the study of topological transitivity of quasi continuous dynamical systems in terms of epsilon-transitivity and indecomposability.(c) 2022 Elsevier B.V. All rights reserved
On bijections, isometries and expansive maps
No full textIn this paper we show when a bijection on a set X can be made either an isometry or an expansive map with respect to a non-discrete metric on X. As a corollary we obtain that any bijection on an infinite set can be made biLipschitz by a non-discrete metric
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