Prime ends dynamics on invariant Peano continua

Ortega Ríos, Rafael; Ruiz Herrera, Alfonso

doi:10.1016/j.topol.2023.108569

1-s2.0-S0166864123001633-main.pdf (424.7Kb)

Identificadores

URI: https://hdl.handle.net/10481/85624

DOI: 10.1016/j.topol.2023.108569

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Editorial

Elsevier

Materia

Attractor

Planar homeomorphism

Rotation

Fecha

2023-11-01

Referencia bibliográfica

R. Ortega, A. Ruiz-Herrera. Prime ends dynamics on invariant Peano continua. Topology and its Applications 339 (2023) 10856. [https://doi.org/10.1016/j.topol.2023.108569]

Patrocinador

Spanish Government MICINN PID2021-128418NA-I00

Resumen

The dynamics of a planar homeomorphism h is simple on any non-separating Peano continuum K that is invariant under h. This means that all limit sets on K are either fixed points or periodic orbits. The map h induces a homeomorphism h* on the space of prime ends associated to K. The goal of this paper is to show that in some cases the dynamics on prime ends can have a certain complexity. We construct a dissipative homeomorphism with attractor K and h* a Denjoy map.

Colecciones

DMA - Artículos

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