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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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On the set function R
by
Sergio Macias
University of Toledo and National University of Mexico
Coauthors: Benjamin Espinoza

A continuum is a compact connected metric space. A continuum X is homogeneous provided that for each pair of points x, y ∈ X, there exists a homeomorphism h: X→ X such that h(x)=y.

David P. Bellamy and Lewis Lum defined the set function R to study arcwise connected homogeneous continua. We study such a set function defined on arcwise connected continua.

Date received: December 20, 2007

Copyright © 2007 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 # cawk-08.