Monotone images of Cremer Julia sets

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Authors
Blokh, A.
Oversteegen, L.
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Abstract
Description
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.
Comment: 11 pages
Keywords
Mathematics - Dynamical Systems, Mathematics - Geometric Topology, 37B45 (Primary), 37F10, 37F20 (Secondary)
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