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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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On finitely Suslinian compacta
by
Lex Oversteegen
UAB
Coauthors: Alexander Blokh, Michał Misiurewicz

We show that a planar unshielded compact set X is finitely Suslinian if and only if there exists a closed set F ⊂ S1 of the circle and a lamination ~ of F such that S1/ ~ is homeomoprhic to X. In the case when X is a continuum the analogous statement follows from Caratheodory theory and is widely used in polynomial dynamics.

Date received: March 2, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cast-39.