Some relations in topological dynamics

Joseph Auslander; Anima Nagar

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arXiv · 2406.16775

Some relations in topological dynamics

Joseph Auslander·Anima Nagar

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Abstract

Relations always play an important role in the study of topological dynamics. Proximal, distal and almost periodic relations are well studied in literature. We further this direction and analogously study the strongly proximal and weakly distal relations. This gives a new class of flows - the weakly distal flows. We observe that the well known Morse-Thue substitution flows and Chacon transformations are weakly distal.

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Joseph Auslander, Anima Nagar. 2024-06-24. Some relations in topological dynamics. https://arxiv.org/abs/2406.16775

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