Indecomposable Continua and the Julia Sets of Polynomials
From MaRDI portal
Publication:4695576
DOI10.2307/2159146zbMath0773.30005OpenAlexW4235185050MaRDI QIDQ4695576
James T. jun. Rogers, John C. Mayer
Publication date: 29 June 1993
Full work available at URL: https://doi.org/10.2307/2159146
Continua and generalizations (54F15) General theory of conformal mappings (30C35) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Cluster sets, prime ends, boundary behavior (30D40)
Related Items (7)
Any counterexample to Makienko’s conjecture is an indecomposable continuum ⋮ Is the boundary of a Siegel disk a Jordan curve? ⋮ Characterizing indecomposable plane continua from their complements ⋮ Rotational subsets of the circle under \(z^d\) ⋮ Indecomposable continua and the Julia sets of polynomials. II ⋮ The solar Julia sets of basic quadratic Cremer polynomials ⋮ Building blocks for quadratic Julia sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On stable homeomorphisms and imbeddings of the pseudo arc
- Singularities in the boundaries of local Siegel disks
- The boundary of a simply connected domain
- Intrinsic rotations of simply connected regions and their boundaries
- On internal composants of indecomposable plane continua
- Prime ends and indecomposability
- A fixed point theorem for plane continua
This page was built for publication: Indecomposable Continua and the Julia Sets of Polynomials