Indecomposable continua and the Julia sets of polynomials
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- by John C. Mayer and James T. Rogers PDF
- Proc. Amer. Math. Soc. 117 (1993), 795-802 Request permission
Abstract:
We find several necessary and sufficient conditions for the Julia set $J$ of a polynomial of degree $d \geqslant 2$ to be an indecomposable continuum. One condition that may be easier to check than others is the following: Suppose $J$ is connected; then $J$ is an indecomposable continuum iff the impression of some prime end of the unbounded complementary domain of $J$ has interior in $J$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 795-802
- MSC: Primary 58F23; Secondary 30C10, 30D05, 54F15, 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1993-1145423-7
- MathSciNet review: 1145423