Topological conjugacy between multifunctions

DOI10.1007/s00010-019-00676-3zbMath1428.37018OpenAlexW2980650156WikidataQ127019709 ScholiaQ127019709MaRDI QIDQ2007631

Shengfu Deng, Jinghua Liu

Publication date: 22 November 2019

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-019-00676-3

zbMATH Keywords

multifunctionstopological conjugacyextension method

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving maps of the interval (37E05)

Related Items

Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological entropy for set-valued maps
• Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\)
• Topological entropy for set valued maps
• Increasing iteration semigroups of Jensen set-valued functions
• On the existence of a conjugacy between weakly multimodal maps
• On Ulam-von Neumann transformations
• Also set-valued functions do not like iterative roots
• Continuum-wise expansiveness and specification for set-valued functions and topological entropy
• Smooth conjugacy between S-unimodal maps
• Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
• Topological entropy on set-valued functions
• Symbolic Dynamics and Transformations of the Unit Interval
• On a Theorem of P. Hartman