On the continuity of symmetrically cliquish or symmetrically quasicontinuous functions.

Abstract

Let $(X,T_X)$ and $(Y,T_Y)$ be topological spaces and let $(Z,\rho _Z)$ be a metric space. In this article we characterize the sets of all continuity points of symmetrically cliquish functions from $X\times Y$ to $Z$ and the sets of continuity points of symmetrically quasicontinuous functions from $\mathbb{R}^2$to $\mathbb{R}$.