What is… topological dynamics?

Abstract

Topological dynamics is the abstract version of dynamical systems consisting of nothing else but a compact, Hausdorff space X and a continuous function f on X. Since this setting is very basic, I hope to offer an easy introduction to the basic phenomena, e.g. recurrence, proximality, maybe even chaos, while allowing for the discussion of some deeper results, e.g. the Ellis-Auslander Theorem.

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