Diadic Baire space and continuity of weakly quasicontinuous maps (in Ukrainian)

We introduce some diadic analogue of the Choquet game and a class of diadic Baire spaces which is a subclass of Baire spaces and is wider then the class Choquet spaces. We prove that for any diadic Baire space $X$, a Banach space $Y$, a countable Asplund$^*$ norming set $Esubseteq Y^*$ and for every map $varphicolon Xto Y$, such that $zvarphi$ is quasi-continuous for any $zin E$, the discontinuity point set $C(varphi)$ is residual.