Branched coverings of the sphere having a completely invariant continuum with infinitely many Wada lakes

DOI10.1016/j.topol.2023.108686zbMath1528.37020arXiv2006.10617MaRDI QIDQ6057674

Jorge Iglesias, Aldo Portela, Alvaro Rovella, Juliana Xavier

Publication date: 5 October 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10617

zbMATH Keywords

indecomposable continuabranched coveringsWada lakessurface endomorphismsThurston maps

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) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Flows on surfaces (37E35) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Cites Work

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• Indecomposable continua and the Julia sets of polynomials. II
• A note on minimal sets of periods for cofrontier maps
• Classification of expansive attractors on surfaces
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• Chaos after bifurcation of a morse-smale diffeomorphism through a one-cycle saddle-node and interations of multivalued mappings of an interval and a circle
• Weakly Confluent, 2-to-1 Maps on Hereditarily Indecomposable Continua
• Expanding Thurston Maps

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