LOCAL CONNECTIVITY OF THE JULIA SET OF REAL POLYNOMIALS

Authors
LEVIN G VANSTRIEN S
Citation
G. Levin et S. Vanstrien, LOCAL CONNECTIVITY OF THE JULIA SET OF REAL POLYNOMIALS, Annals of mathematics, 147(3), 1998, pp. 471-541
Citations number
37
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annals of mathematics → ACNP
ISSN journal
0003486X
Volume
147
Issue
3
Year of publication
1998
Pages
471 - 541
Database
ISI
SICI code
0003-486X(1998)147:3<471:LCOTJS>2.0.ZU;2-8
Abstract
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) with l an even integer and c(1) real is ei ther totally disconnected or locally connected. This answers a questio n of J. Milnor.