On stable pairs of Hahn and extremal sections of separately continuous functions on the products with a scattered multiplier

Oleksandr Maslyuchenko, Anastasiia Lianha

The minimal and the maximal sections ${\wedge }_f,\vee {}_f:X\to \overline{\mathbb{R}}$ of a function $f:X\times Y\to \overline{\mathbb{R}}$ are defined by $\wedge_f(x)=\inf\limits_{y\in Y…