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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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Metrizable Fiberings of Continuous Images of Ordered Compact Hausdorff Spaces
by
Dale Daniel
Lamar University

A Tychonoff space A is metrizably fibered if and only if there exists a continuous map of A onto a metrizable space B such that each point inverse is metrizable. It has been shown that every first countable Hausdorff continuous image of the lexicographic square is metrizably fibered. We show here that the techniques used in that result may be modified to show that every first countable Hausdorff space that is the continuous image of a metrizably fibered compact ordered space is metrizably fibered.

Date received: February 21, 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-66.