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International Conference on Applicable General Topology
August 12-18, 2001
Hacettepe University
Ankara, Turkey

Organizers
L. M. Brown (Ankara), G. Brümmer (Cape Town), M. Diker (Ankara), M. Henriksen (Claremont), R. D. Kopperman (New York), G. M. Reed (Oxford), I. L. Reilly (Auckland), S. Salbany (Pretoria), D. Spreen (Siegen)

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On Linear Cofinal Completeness
by
Bruce S. Burdick
Roger Williams University

We investigate linear versions of some known completeness properties. We show that linear cofinal completeness implies supercompleteness, and that in metric uniform spaces linear cofinal completeness is equivalent to cofinal completeness. Examples are given to show that completeness, supercompleteness, and cofinal completeness are all distinct from their linear versions.

Date received: May 22, 2001

Copyright © 2001 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 # cagx-05.