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Scrambled Cantor sets

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Geschke, Stefan, Grebík, Jan and Miller, Benjamin (2021) Scrambled Cantor sets. Proceedings of the American Mathematical Society, 149 (10). pp. 4461-4468. doi:10.1090/proc/15532 ISSN 0002-9939.

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Official URL: http://doi.org/10.1090/proc/15532

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Abstract

We show that Li–Yorke chaos ensures the existence of a scrambled Cantor set.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Descriptive set theory, Set theory , Topological dynamics , Cantor sets
Journal or Publication Title: Proceedings of the American Mathematical Society
Publisher: American Mathematical Society
ISSN: 0002-9939
Official Date: 2021
Dates:
DateEvent
2021Published
27 January 2021Accepted
Volume: 149
Number: 10
Page Range: pp. 4461-4468
DOI: 10.1090/proc/15532
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: © Copyright 2021 American Mathematical Society
Date of first compliant deposit: 4 April 2023
Date of first compliant Open Access: 5 April 2023
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
57156702Deutscher Akademischer Austauschdiensthttp://dx.doi.org/10.13039/501100001655
15-13Deutscher Akademischer Austauschdiensthttp://dx.doi.org/10.13039/501100001655
P28153 Austrian Science Fundhttp://dx.doi.org/10.13039/501100002428
P29999Austrian Science Fundhttp://dx.doi.org/10.13039/501100002428

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