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- W4283383543 abstract "Relationships between a chaotic behavior and closely related properties of topological transitivity, sensitivity to initial conditions, density of closed orbits of homeomorphism groups and their countable products are investigated. We construct numerous new examples of chaotic groups of homeomorphisms of countable products of various metrizable topological spaces, including infinite-dimensional topological manifolds, whose factors can be as noncompact surfaces, so triangulable closed manifolds of an arbitrary dimension." @default.
- W4283383543 created "2022-06-25" @default.
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- W4283383543 date "2022-06-22" @default.
- W4283383543 modified "2023-09-23" @default.
- W4283383543 title "Chaotic behavior of countable products of homeomorphism groups" @default.
- W4283383543 doi "https://doi.org/10.48550/arxiv.2206.10992" @default.
- W4283383543 hasPublicationYear "2022" @default.
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