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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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Filament Local Product Structures in Homogeneous Continua
by
Janusz R. Prajs
California State University, Sacramento

All non-locally connected homogeneous continua have closed neighborhoods whose quotient space of components is homeomorphic to the Cantor set. Yet there are homogeneous non-locally connected continua without neighborhoods homeomorphic to the product of a continuum and the Cantor set. The main result of this paper provides a useful criterion for identifying such neighborhoods. We show a number of applications of this result.

Date received: February 15, 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-44.