ON THE QUASI-$(\theta, s)$-CONTINUITY

Abstract

The quasi-$(\theta, s)$-continuity is a weakened form of the
weak $(\theta, s)$-continuity and equivalent to the weak quasi-continuity. The basic properties of those functions are investigated in concern with the other weakened continuous functions. It turns out that the open property of a function and the extremall disconnectedness of the spaces are crucial tools for the survey of these functions.