Sufficient conditions for the existence of points of symmetrically quasi-continuity and of symmetrically cliquishness of functions of two variables

Abstract

It is established sufficient conditions under which for the function $f : X\times Y \longrightarrow Z$ there is aresidual in $X$ set $A$, such that the function $f$ is symmetrically quasi-continuous /cliquish/ one with respect to $x$ at each point of the set $A\times Y$ .