Article ID Journal Published Year Pages File Type
4661381 Topology and its Applications 2007 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology