Continuous Maps of the Interval with Finite Nonwandering Set

DOI10.2307/1998815zbMath0389.54006OpenAlexW4243790937MaRDI QIDQ4171270

Louis Stuart Block

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998815

Mathematics Subject Classification ID

Continuous maps (54C05)

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Homoclinic Points of Mappings of the Interval, Nonwandering points of monotone local dendrite maps revisited, Chain recurrent points of a tree map, Mappings of the Interval with Finitely Many Periodic Points Have Zero Entropy, Mappings on dendrites, On the \(\Omega\)-EP property, Continuous Maps of the Interval whose Periodic Points form a Closed Set, ω-LIMIT SETS CONTAINING AN INFINITE MINIMAL SET, An engine breaking the \(\Omega\)EP-property, Continuous maps of trees and nonwandering sets, Maps of the Interval with Closed Periodic Set, Non-wandering set of a continuous graph map, A strong characterization on the \(\Omega \mathrm{EP}\)-property, The structure of symmetric attractors, Non-wandering sets of the powers of dendrite maps, Relations Between Chain Recurrent Points and Turning Points on the Interval, Recurrent points and non-wandering points of graph maps, Functional Rotation Numbers for One-Dimensional Maps, Special \(\alpha \)-limit points and unilateral \(\gamma \)-limit points for graph maps

Cites Work

• The periodic points of maps of the disk and the interval
• Diffeomorphisms Obtained from Endomorphisms
• The Periodic Points of Morse-Smale Endomorphisms of the Circle
• Morse-Smale Endomorphisms of the Circle
• Endomorphisms of Compact Differentiable Manifolds
• Differentiable dynamical systems