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arXiv:0809.1193 [math.DS]AbstractReferencesReviewsResources

Monotone images of Cremer Julia sets

A. Blokh, L. Oversteegen

Published 2008-09-06Version 1

We show that if $P$ is a quadratic polynomial with a fixed Cremer point and Julia set $J$, then for any monotone map $\ph:J\to A$ from $J$ onto a locally connected continuum $A$, $A$ is a single point.

Comments: 11 pages
Journal: Houston Journal of Mathematics, 36 (2010), 469--476
Categories: math.DS, math.GT
Subjects: 37B45, 37F10, 37F20
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