On the centre and the set of \(\omega \)-limit points of continuous maps on dendrites

DOI10.1016/J.TOPOL.2009.02.008zbMath1180.37022OpenAlexW2022623354MaRDI QIDQ1032933

Zdeněk Kočan, Michal Málek, Veronika Kornecká-Kurková

Publication date: 5 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.02.008

zbMATH Keywords

\(\omega\)-limit setdendritecentre of dynamical system

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Continua theory in dynamics (37B45)

Related Items (10)

Monotone maps on dendrites and their induced maps ⋮ Dynamics of homeomorphisms of regular curves ⋮ On the topological entropy on the space of fuzzy numbers ⋮ Recurrence and nonwandering sets of local dendrite maps ⋮ On the existence of maximal \(\omega \)-limit sets for dendrite maps ⋮ Orbital shadowing, internal chain transitivity and -limit sets ⋮ DYNAMICS OF MONOTONE GRAPH, DENDRITE AND DENDROID MAPS ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ Counterexamples of continuous maps on dendrites ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps

Cites Work

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• Hausdorff compactness on a space of \(\omega\)-limit sets
• Dynamics in one dimension
• Triangular maps non-decreasing on the fibers
• On the “spectral decomposition” for piecewise-monotone maps of segments
• A ``universal dynamical system generated by a continuous map of the interval
• The space of $\omega $-limit sets of a continuous map of the interval
• Spaces of ω-limit sets of graph maps

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