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1999 Summer Conference on Topology and its Applications
August 4-7, 1999
C.W. Post Campus of Long Island University
Brookville, NY, USA

Organizers
Sheldon Rothman, Ralph Kopperman

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Some comments on separately continuous functions
by
Maxim R. Burke
University of Prince Edward Island

Lebesgue proved that every function f : R×R --> R which is continuous in each variable separately is a pointwise limit of continuous functions. We discuss some problems related to the determination of the descriptive properties (such as Borel and Baire measurability) of separately continuous functions f : X×Y --> R on the product of two Tychonoff spaces X and Y.

Date received: June 14, 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 # cacl-74.