Scrambled Cantor sets

DOI10.1090/proc/15532zbMath1497.03057arXiv2006.08277OpenAlexW3133660569MaRDI QIDQ5012124

Benjamin D. Miller, Stefan Geschke, Jan Grebík

Publication date: 31 August 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08277

zbMATH Keywords

chaosproximal pointsLi-Yorkeasymptotic points

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Cardinalities of scrambled sets and positive scrambled sets

Cites Work

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• Borel chromatic numbers
• Counting the number of equivalence classes of Borel and coanalytic equivalence relations
• Period Three Implies Chaos
• On Li-Yorke pairs
• Topological size of scrambled sets