On some properties of the space of upper semicontinuous functions

Alexander V. Osipov, Evgenii G. Pytkeev

For a Tychonoff space $X$, we will denote by $US{C}_p(X)$ ($B_1(X)$) a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X…