On a Lindenbaum Composition Theorem

Šupina, Jaroslav; Uhrik, Dávid

doi:10.2478/tmmp-2019-0025

Abstract

We discuss several questions about Borel measurable functions on a topological space. We show that two Lindenbaum composition theorems [Lindenbaum, A. Sur les superpositions des fonctions représentables analytiquement, Fund. Math. 23 (1934), 15–37] proved for the real line hold in perfectly normal topological space as well. As an application, we extend a characterization of a certain class of topological spaces with hereditary Jayne-Rogers property for perfectly normal topological space. Finally, we pose an interesting question about lower and upper Δ⁰₂-measurable functions.

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On a Lindenbaum Composition Theorem

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