Chaos and mixing homeomorphisms on fans

DOI10.1080/10236198.2024.2384947MaRDI QIDQ6661102

Judy Kennedy, Iztok Banič, Van Nall, Goran Erceg, Chris Mouron

Publication date: 10 January 2025

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continua and generalizations (54F15) Continua theory in dynamics (37B45) Inverse limits of set-valued functions (54F17) Dynamics in general topological spaces (37B02)

Cites Work

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• Arcs in partially ordered spaces
• On plane dendroids and their end points in the classical sense
• On Devaney's Definition of Chaos
• Chaos Without Nonperiodicity
• A Characterization of Smooth Cantor Bouquets
• A note on smooth fans
• The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc
• A transitive homeomorphism on the Lelek fan

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