\({\mathcal F}\)-limit points in dynamical systems defined on the interval

DOI10.2478/s11533-012-0056-0zbMath1338.37050OpenAlexW1989331888MaRDI QIDQ1935091

Piotr Szuca

Publication date: 30 January 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0056-0

zbMATH Keywords

Hausdorff metricinterval mapsfilter convergenceideal convergenceEllis semigroupenveloping semigrouptame dynamical system{\(\omega\)}-limit sets

Mathematics Subject Classification ID

Descriptive set theory (03E15) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Foundations: limits and generalizations, elementary topology of the line (26A03) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

On the Ellis semigroup of a discrete dynamical system \(([0, 1, f)\)] ⋮ Cardinality of the Ellis semigroup on compact metric countable spaces ⋮ On the Ellis semigroup of a cascade on a compact metric countable space ⋮ Iterates of dynamical systems on compact metrizable countable spaces ⋮ Equicontinuous mappings on finite trees ⋮ About the Ellis semigroup of a simple \(k\)-od

Cites Work

• Topics in topology
• Chaos in terms of the map \(x\to\omega(x,f)\)
• Generalized statistical convergence and convergence free spaces
• Enveloping semigroups in topological dynamics
• Pointwise Compact Sets of Baire-Measurable Functions
• Characterizations of Weakly Chaotic Maps of the Interval
• Hereditarily non-sensitive dynamical systems and linear representations
• New algebras of functions on topological groups arising from G-spaces
• A Characterization of Banach Spaces Containing l ¹
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
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