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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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Duality in topology.
by
Ralph Kopperman
City College of CUNY, New York

An asymmetric topology \tau on a set X, is one for which there are x, y in X such that x in cl(y) and y not in cl(x). An asymmetric topology cannot be T1 or regular.

A duality is a rule by which we get a second topology, D(\tau) on X such that the bitopological space (X, \tau, D(\tau)) has good separation properties.

We discuss several duals of asymmetric topologies. and their uses.

Date received: July 25, 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-56.