Some observations on the symmetrical quasicontinuity of Piotrowski and Vallin

Abstract

In this article I investigate the measurability of symmetrically quasicontinuous (in the sense of Piotrowski and Vallin) functions and symmetrically cliquish functions $f : R^2\to R$ with respect to the Euclidean topology and with respect to the density topology $T_d\times T_d$.