Title

T0-spaces and pointwise convergence

Document Type

Article

Publication Date

1-1-1985

Abstract

The purpose of this paper is to give several different characterizations of those T0-spaces E with the property that if F:X × E → Y is separately continuous, then it is jointly continuous. One such is that the lattice 0(E) of open sets of E be a hypercontinuous lattice (i.e. the interval topology on 0(E) is Hausdorff). If E is a sober space, then E must be a quasicontinuous poset endowed with the Scott topology. © 1985.

Publication Source (Journal or Book title)

Topology and its Applications

First Page

73

Last Page

76

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