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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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Topological Semi-orders
by
M. B. Smyth
Imperial College, London, UK

Lines with partial points are of great immportance in the computational treatment of the reals. The interval domain is the most notable, but by no means the only, example. We outline a topological theory of such partial linear structures, via a generalized notion of continuum ("continua with tolerance"). Connections with other areas of study, specifically interval graphs and utility theory (preference orderings), will also be considered.

Date received: June 30, 1997

Copyright © 1997 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 # caao-57.