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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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Continua That Contain No Metric Subcontinua
by
Bruce Treybig
Texas A&M University
Coauthors: D. Daniel, J. Nikiel, M. Tuncali, E. D. Tymchatyn

A continuum is a compact connected Hausdorff space. In earlier work, we raised the following question. Let X denote a locally connected continuum such that X is rim-metric and such that X contains no non-degenerate metric subcontinuum. Is X rim-finite and therefore the continuous image of a compact ordered space. We study this question. We also use the results of this study to obtain analogues of a classical result of Whyburn.

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-24.