Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661381 | Topology and its Applications | 2007 | 6 Pages |
Abstract
In this paper we prove a theorem more general than the following. Suppose that X is Čech-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 there exists a residual set R in X such that f is jointly continuous at each point of R×Y. This confirms the suspicions of S. Mercourakis and S. Negrepontis from 1991.
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Mathematics
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