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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Categorical Completeness: Surprises and Difficulties
by
Bruce S. Burdick
Roger Williams University

Given a category with a notion of embedding, it is possible to define what the complete objects should be and to ask whether all objects have completions. For the categories of T0 spaces and T0 uniform spaces (both with the usual embeddings) one gets the sober spaces and the complete spaces, respectively. We survey some of what is known in this area.

In the case of T0 bitopological spaces we look at both a known self-dual result and a new non-self-dual approach, with a view toward finding other non-self-dual bitopological applications.

Date received: May 12, 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 # cait-12.