The centre and the depth of the centre for continuous maps on dendrites with unique branch point

DOI10.1016/J.TOPOL.2020.107314zbMath1460.37008OpenAlexW3039266901MaRDI QIDQ2215641

Caihong Han, Taixiang Sun, Guoen Xia, Lue Li, Guangwang Su

Publication date: 14 December 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107314

zbMATH Keywords

depthdendrite mapcentre

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamics in general topological spaces (37B02)

Related Items (2)

The depths and the attracting centres for continuous maps on a dendrite whose rank is finite ⋮ Remarks on the existence of periodic points for continuous maps on dendrites

Cites Work

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• Dynamics in one dimension
• The centre and the depth of the centre for continuous maps on dendrites with finite branch points
• The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite
• The depths of the centres and the attracting centres of a class of dendrite maps
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• Transitivity and the centre for maps of the circle
• _ P &nbsp; = _ R &nbsp; for Maps of the Interval
• Periodic and Limit Orbits and the Depth of the Center for Piecewise Monotone Interval Maps
• Central Sequences in Flows on 2-Manifolds of Finite Genus
• The centre and the depth of the centre of a tree map
• On the Center of Continuous Maps of Dendrites

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