Dynamical properties of certain continuous self maps of the Cantor set

DOI10.1016/j.topol.2011.06.062zbMath1236.37014OpenAlexW1989281570MaRDI QIDQ409671

Salvador García-Ferreira

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.062

zbMATH Keywords

Cantor setultrafilterdiscrete dynamical systemcompact metric spaceEllis semigrouprecurrent point\((f\(f\)-thick set\(p\)-proximal points\(p\)-recurrent pointp)\)-thick setproximal pointsthick set

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Symbolic dynamics (37B10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items

On the Ellis semigroup of a discrete dynamical system \(([0, 1, f)\)], Cardinality of the Ellis semigroup on compact metric countable spaces, The Ellis semigroup of a nonautonomous discrete dynamical system, About the Ellis semigroup of a simple \(k\)-od

Cites Work

• Algebra in the Stone-Čech compactification: theory and applications
• A new kind of compactness for topological spaces
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