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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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Indecomposable Continua and the Julia Sets of Polynomials, II
by
James T. Rogers, Jr.
Tulane University
Coauthors: John C. Mayer

We find necessary and sufficient conditions for the connected Julia set of a polynomial of degree greater than one to be an indecomposable continuum. One necessary and sufficient condition is that the impression of some prime end (external ray) of the unbounded complementary domain of the Julia set has nonempty interior in J. Another is that every prime end has as its impression the entire Julia set. The latter answers a question posed by the authors in 1993.

Date received: February 13, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajz-32.