Oz revisited
by
Christopher R A Gilmour
University of Cape Town, South Africa

Oz spaces (first defined by Robert L. Blair) are those spaces X for which every open subset U of X is z-embedded in X i.e. each zero-set of U is the restriction to U of some zero-set of X. Equivalently: every regular closed subset of X is a zero set. We define and characterise Oz frames, the pointfree version of Oz spaces, and consider the question of when certain extensions of Oz frames are again Oz. These results are based on joint work with Bernhard Banaschewski.

Date received: June 22, 2000

Copyright © 2000 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 # caeq-50.