Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries

DOI10.2140/gt.2021.25.111zbMath1468.37043arXiv1704.06624OpenAlexW3134550525MaRDI QIDQ2024587

Toby Hall, Philip L. Boyland, André de Carvalho

Publication date: 4 May 2021

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06624

zbMATH Keywords

inverse limitsunimodal mapsprime endsnatural extensionssphere homeomorphisms

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (6)

Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations ⋮ Densely branching trees as models for Hénon-like and Lozi-like attractors ⋮ On conjugacy of natural extensions of one-dimensional maps ⋮ Limits of sequences of pseudo-Anosov maps and of hyperbolic 3-manifolds ⋮ Statistical stability for Barge-Martin attractors derived from tent maps ⋮ Accessible points of planar embeddings of tent inverse limit spaces

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