|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
01 May 2004
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