Absolute $\mathcal{F}$-Borel classes

Abstract

We investigate and compare $\mathcal{F}$-Borel classes and absolute $\mathcal{F}$-Borel classes. We provide precise examples distinguishing these two hierarchies. We also show that for separable metrizable spaces, $\mathcal{F}$-Borel classes are automatically absolute.

Fundamenta Mathematicae, 2018, Instytut Matematyczny Polskiej Akademii Nauk

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• Absolute $F_{\sigma \delta }$ spaces

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• Absolute $F_{\sigma \delta }$ spaces