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2005 Spring Topology and Dynamics Conference
March 17-19, 2005
Berry College
Mount Berry, Georgia, USA

Organizers
Eric McDowell, Todd Timberlake, John Graham

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Filament Sets and Homogeneous Continua
by
Janusz R. Prajs
California State University Sacramento
Coauthors: Keith Whittington

New tools are introduced for the study of homogeneous continua and their hyperspaces. The subcontinua of a given continuum are classified into three types: filament, non-filament and ample, with ample being a subcategory of non-filament. The richness of the collection of ample subcontinua of a homogeneous continuum reflects where the space lies in the gradation from being locally connected at one extreme to indecomposable at another. Applications are given to the general theory of homogeneous continua and their hyperspaces.

Date received: February 26, 2005

Copyright © 2005 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 # capc-56.