Finitely Suslinian models for planar compacta with applications to Julia sets

DOI10.1090/S0002-9939-2012-11607-7zbMath1300.54043arXiv1009.1565WikidataQ122090725 ScholiaQ122090725MaRDI QIDQ4911845

Lex G. Oversteegen, Alexander M. Blokh, Clinton P. Curry

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1565

zbMATH Keywords

continuumJulia setlocally connectedmonotone mapfinitely Suslinian

Mathematics Subject Classification ID

Continua and generalizations (54F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Continua theory in dynamics (37B45) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (6)

A note on core decomposition of Mandelbrot set ⋮ On continuous extension of conformal homeomorphisms of infinitely connected circle domains ⋮ On the lambda function and a quantification of Torhorst theorem ⋮ Dynamics of relations associated with two core decompositions ⋮ A core decomposition of compact sets in the plane ⋮ Non-degenerate locally connected models for plane continua and Julia sets

Cites Work

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• Locally connected models for Julia sets
• Proof of the Branner-Hubbard conjecture on Cantor Julia sets
• Real laminations and the topological dynamics of complex polynomials
• External rays to periodic points
• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• On the dynamics of polynomial-like mappings
• Backward stability for polynomial maps with locally connected Julia sets
• Fixed points of polynomial maps. Part II. Fixed point portraits
• Planar finitely Suslinian compacta
• Core decompositions of continua

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