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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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Approximating Kelley Continua By Rays
by
Robbie Beane
University of Missouri - Rolla
Coauthors: Wlodzimierz J. Charatonik

We investigate what Kelley continua can be approximated by a ray in such a way that the union is a Kelley continua. We show that continua containing triods may not be approximated in this manner, while for hereditarily indecomposable continua, every approximation works. Our main result is that that such an approximation exists for any arc-like continua.

Date received: February 27, 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 # caqs-95.