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September Topology Conference in Belfast
September 1-3, 1999
The Queen's University of Belfast
Belfast, Northern Ireland, UK

Organizers
Dr S. D. McCartan, Dr T. B. M. McMaster, Mr A. J. Hanna

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Low Separation Axioms and Submaximal Spaces
by
Julian Dontchev
University of Helsinki

Recently G.J. Kennedy and S.D. McCartan introduced the notion of weak submaximality (Proceedings of the Royal Irish Academy, to appear). The new concept is natural and it fits perfectly in the generalisation scheme of submaximal and TD-spaces. A topological space is called submaximal (resp. weakly submaximal, TD-space) if every subset (resp. every finite subset, every singleton) of X is locally closed. Submaximal spaces have been recently investigated in detail by A.V. Arhangel'ski and P.J. Collins (On submaximal spaces, Topology and its Applications, 64 (3) (1995), 219-241).

The aim of this talk is to cover the recent progress in the study of low separation axioms related to TD and some classes of spaces weaker than submaximal.

Date received: July 9, 1999

Copyright © 1999 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 # cadg-08.