Abstract
The principal goal of this paper is squeezing out points of joint continuity from a separately continuous action of a semigroup on a topological space. The paper itself is a variation on a theme by R.Ellis, who showed that separate continuity on a locally compact Hausdorff group implies joint continuity for the multiplication function $[6]$. The paper closes with several diverse applications.
Citation
J. D. Lawson. "Joint continuity in semitopological semigroups." Illinois J. Math. 18 (2) 275 - 285, June 1974. https://doi.org/10.1215/ijm/1256051229
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