Separate Continuity, Joint Continuity and the Lindelof Property

Petar S. Kenderov and Warren B. Moors


In this paper we prove a theorem more general than the following. Suppose that X is Lindelof and
alpha-favourable and Y is Lindelof and Cech-complete. Then for each separately
continuous function f:X x Y --> R there exists a residual
set R in X such that f is jointly continuous at each point of R x Y.

Separate continuity; Joint continuity; Lindelof Property.

Math Review Classification
Primary 54C20 ; Secondary 22A10

Last Updated
01 May 2004

6 pages

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