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The Topology of Separate Continuity
by
Joan E. Hart
Union College
Coauthors: Kenneth Kunen
Given topological spaces X, Y, there is a natural topology T+ on X ×Y such that a function f: X ×Y --> Z is continuous with respect to T+ iff f is separately continuous. We study cardinal functions (such as character) of T+. We also consider situations under which T+ is regular; this is related to Eberlein compacta in the case that X, Y are compact, and to \sigma-sets in the case that X, Y are separable metric.
Date received: May 14, 1998
Copyright © 1998 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 # cabc-15.