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Limit sets and square roots of homeomorphisms. (English) Zbl 0914.54035
Summary: The author defines the positive and negative limit sets and characterizes their dynamical properties in terms of the non-Hausdorff sets. By using these sets, he also considers the condition that a given homeomorphism has a square root, and gives an example of a wandering homeomorphism without square roots.

MSC:
54H20 Topological dynamics (MSC2010)
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
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