In this paper we prove a theorem more general than the following. Suppose that X is Cech-complete and Y is a closed subset of a product of a separable metric space with a compact Hausdorff space. Then for each separately continuous function f:XxY -> R there exists a residual set R in X such that f is jointly continuous at each point of RxY. This confirms the suspicions of S.Mercourakis and S.Negrepontis from 1991. |
Keywords
Separate continuity; Joint continuity; Lindelof Property.
Math Review Classification
Primary 54C05, 22A10
; Secondary 54E52, 39B99
Last Updated
29/07/05
Length
6 pages
Availability
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