*Definition [#b36560b6] A topological space X is called RS-compact iff every cover U of X by [[semi-regular]] sets has a subfamily V such that the interiors of members of V cover X. *Reference [#c6572389] J. Dontchev and M. Ganster, ''Some comments on θ-irresolute and quasi-irresolute functions'', Serdica Math. J. 21 (1995), 67-74