Characterizing indecomposable plane continua from their complements

DOI10.1090/S0002-9939-08-09508-7zbMath1160.54021arXiv0805.3320OpenAlexW2593281389MaRDI QIDQ3532532

John C. Mayer, Edward D. Tymchatyn, Clinton P. Curry

Publication date: 28 October 2008

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

Full work available at URL: https://arxiv.org/abs/0805.3320

zbMATH Keywords

Julia setcomplex dynamicscrosscutindecomposable continuumburied pointcomplementary domaindouble-pass conditiongeneralized crosscut

Mathematics Subject Classification ID

Continua and generalizations (54F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Cites Work

• Complex dynamics
• Buried points and Lakes of Wada continua
• Indecomposable continua and the Julia sets of polynomials. II
• Continua and their complementary domains in the plane
• On Rational Maps with Two Critical Points
• Geometry and Dynamics of Quadratic Rational Maps
• On internal composants of indecomposable plane continua
• Indecomposable continua in exponential dynamics
• Indecomposable Continua and the Julia Sets of Polynomials
• Prime ends and indecomposability
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Incidence Relations in Unicoherent Spaces
• Incidence Relations in Multicoherent Spaces. I
• Remarks on the theory of prime ends
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