Oleksandr V. Maslyuchenko

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20242026

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math.GN2025

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 $\land_{f}, \lor_{f} : X \to R$ of a function $f : X \times Y \to R$ are defined by $\wedge_f(x)=\inf\limits_{y\in Y…

math.GN2024

Compact subspaces of the space of separately continuous functions with the cross-uniform topology

Oleksandr Maslyuchenko, Vadym Myronyk, Roman Ivasiuk

We consider two natural topologies on the space $S (X \times Y, Z)$ of all separately continuous functions defined on the product of two topological spaces $X$ and $Y$ and ranged into…