The space of \(\omega\)-limit sets for Baire-1 functions on the interval

DOI10.1016/j.topol.2018.08.008zbMath1402.54035OpenAlexW2886529115MaRDI QIDQ1790231

Timothy H. Steele

Publication date: 2 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.08.008

zbMATH Keywords

\(\omega\)-limit setgenericBaire-1 function

Mathematics Subject Classification ID

Related Items (9)

Dynamics of interval maps generated by erasing substitutions ⋮ Dynamics of measurable functions on the interval ⋮ The simplest erasing substitution ⋮ Iterates of Borel functions ⋮ Dynamics of Baire-1 functions on the interval ⋮ Dynamics of typical Baire-1 functions on a compact \({n}\)-manifold ⋮ Dynamics of Baire-2 functions on the interval ⋮ The dynamics of a typical measurable function are determined on a zero measure set ⋮ On dynamics of families of equi-Baire one functions on metric spaces

Cites Work

• Unnamed Item
• Chaos in terms of the map \(x\to\omega(x,f)\)
• The Lipschitz structure of continuous self-maps of generic compact sets
• Dynamics of typical Baire-1 functions on the interval
• A characterization of adding machine maps
• Liapunov stability and adding machines
• The space of $\omega $-limit sets of a continuous map of the interval

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