Submaximality and Superconnected Are Complementary Topological Invariants
by
Gary Kennedy
Queen's University of Belfast

A topological space is submaximal iff every dense set is open. Those members of LT(X) (the lattice of all topologies definable on a set X, ordered under inclusion) which are minimal submaximal are identified. A new characterization of submaximality is given which leads naturally to the study of a new contractive topological invariant 'superconnected'. By identifying those members of LT(X) which are maximal superconnected we conclude that submaximality and superconnected are complementary topological invariants.

Date received: June 24, 1996

Copyright © 1996 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 # caah-51.