T0-spaces and pointwise convergence
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
Lawson, J. (1985). T0-spaces and pointwise convergence. Topology and its Applications, 21 (1), 73-76. https://doi.org/10.1016/0166-8641(85)90059-8