Sufficient conditions for the existence of points of symmetric quasicontinuity and of symmetric cliquishness of functions of two variables

Abstract

It is established sufficient conditions under which for the function $f:X\times Y\to Z$ there is a residual 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 $A\times Y$.