Dynamics with Jones' set function \(\mathcal{T}\)

DOI10.1016/J.TOPOL.2021.107635zbMath1469.37011OpenAlexW3132191977MaRDI QIDQ1998833

David Maya, Javier Camargo, Sergio Macías-Alvarez

Publication date: 9 March 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107635

zbMATH Keywords

orbitscontinuumcompactumtransitive mapmixing mapirreducible mapminimal mapJones' set function \(\mathcal{T} \)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua theory in dynamics (37B45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Related Items (2)

The set functions \(\mathcal{K}\) and \(\mathcal{T}\) and the property of Kelley ⋮ Dynamics with set-valued functions and coselections

Cites Work

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• Recent development of chaos theory in topological dynamics
• Some results about inverse limits with set-valued bonding functions
• ON CONTINUOUSLY TYPE ${A}'$ $\theta$-CONTINUA
• Kinematic expansive flows
• On the image of Jones’ set function $\mathcal {T}$
• Another Homogeneous Plane Continuum
• On Devaney's Definition of Chaos
• Dynamical properties of shift maps on inverse limits with a set valued function
• Topics on Continua
• The property of Kelley and continua
• Continuity of the Jones’ set function $\mathcal {T}$
• Continua for which the set Function T is Continuous

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