We will show that every KC-function f : X×Y → Z is strongly quasi-continuous provided that X is Baire, Y a W-space and Z is regular. It follows that if Y is a Moore W-space and G is a Baire left topological group, then every KC-action π : G × Y → Y is jointly continuous. Our results enable us to obtain conditions which imply that a semitopological group is automatically a paratopological.

Keywords