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Colloquium on Topology, Gyula, Hungary
August 9-15, 1998
János Bolyai Mathematical Society
Budapest, Hungary

Organizers
M. Bognár, A. Császár (chairman), J. Gerlits, I. Juhász, E. Makai, G. Moussong, R. Rimányi, L. Soukup, A. Stipsicz, J. Szenthe, A. Szücs (secretary)

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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.