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Spring Topology and Dynamics Conference
March 21-23, 2002
University of Texas
Austin, TX, USA

Organizers
Cameron Gordon, John Luecke, Alan Reid

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Concerning Metrizable Continua of Convergence
by
Dale Daniel
Lamar University
Coauthors: C. T. Kennaugh

A continuum is a compact connected Hausdorff space. We consider continua with the property that each continuum of convergence is metrizable. We first conduct a relatively comprehensive study of this property. We then investigate the relationship of this property to the Hahn-Mazurkiewicz Problem in the class of locally connected continua. In so doing, we find analogues to theorems of Cornette, Simone, and Treybig, respectively.

Date received: February 13, 2002

Copyright © 2002 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 # caik-23.