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. |
Keywords
Separate continuity; Joint continuity; Lindelof Property.
Math Review Classification
Primary 54C20
; Secondary 22A10
Last Updated
01 May 2004
Length
6 pages
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