Browsing Факультет математики та інформатики by Author "Mykhaylyuk, Volodymyr"

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    • On a problem of Talagrand concerning separately continuous functions 

      Mykhaylyuk, Volodymyr; Pol, Roman (Cembridge University Press, 2021)
      We construct a separately continuous function e:E×K→{0,1} on the product of a Baire space E and a compact space K such that no restriction of e to any non-meagre Borel set in E×K is continuous. The function e has no points ...

    • The lateral order on Riesz spaces and orthogonally additive operators 

      Mykhaylyuk, Volodymyr; PLiev, Marat; Popov, Mikhail (Springer, 2021)
      The paper contains a systematic study of the lateral partial order ⊑ in a Riesz space (the relation x⊑y means that x is a fragment of y) with applications to nonlinear analysis of Riesz spaces. We introduce and study lateral ...