Dynamic properties for the induced maps on symmetric product suspensions of a topological space

DOI10.1016/j.topol.2023.108793MaRDI QIDQ6142730

Sergio Macías-Alvarez, Franco Barragán, Anahi Rojas

Publication date: 4 January 2024

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

zbMATH Keywords

dynamical systemssymmetric productstopological transitivity\(n\)-fold symmetric products suspension

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Quotient spaces, decompositions in general topology (54B15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Hyperspaces of continua (54F16) Dynamics in general topological spaces (37B02)

Cites Work

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• Conceptions of topological transitivity
• Induced maps on \(n\)-fold symmetric product suspensions
• Exact Devaney chaos and entropy
• On the \(n\)-fold symmetric product suspensions of a continuum
• Transitivities of maps of general topological spaces
• On mixing property in set-valued discrete systems
• More on induced maps on n-fold symmetric product suspensions
• Dynamic properties for the induced maps on n-fold symmetric product suspensions
• Conceptions of Topological Transitivity on Symmetric Products
• Yet Another Definition of Chaos
• Dynamics of induced systems
• Topics on Continua
• Topological complexity, return times and weak disjointness
• Conceptions on topological transitivity in products and symmetric products
• Dynamics of induced mappings on symmetric products, some answers

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