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Chaotic actions of topological semigroups |
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| Authors: | Friedrich Martin Schneider Sebastian Kerkhoff Mike Behrisch Stefan Siegmund |
| Affiliation: | 1. Institut für Algebra, Technische Universit?t Dresden, 01062, Dresden, Germany 2. Institut für Analysis, Technische Universit?t Dresden, 01062, Dresden, Germany |
| Abstract: | In this paper we propose and explore a general notion of chaos in the abstract context of continuous actions of topological semigroups and show that any chaotic action on a Hausdorff uniform space is sensitive to initial conditions. |
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