Local connectivity of the Julia set of real polynomials

Genadi Levin; Sebastian Van Strien

doi:10.2307/120958

Local connectivity of the Julia set of real polynomials

Genadi Levin
, Sebastian Van Strien

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

In this paper we shall show that the Julia set of real polynomials of the form f(z) = z^ℓ + c₁ with ℓ an even integer and c₁ real is either totally disconnected or locally connected. This answers a question of J. Milnor.

Original language	English
Pages (from-to)	471-541
Number of pages	71
Journal	Annals of Mathematics
Volume	147
Issue number	3
DOIs	https://doi.org/10.2307/120958
State	Published - May 1998

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abstract = "In this paper we shall show that the Julia set of real polynomials of the form f(z) = zℓ + c1 with ℓ an even integer and c1 real is either totally disconnected or locally connected. This answers a question of J. Milnor.",

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Local connectivity of the Julia set of real polynomials

Abstract

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