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arXiv · 2207.06821

Baire Category Lower Density Operators with Borel Values

Marek Balcerzak·Jacek Hejduk·Artur Wachowicz
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Abstract

We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class $\pmb \Pi^0_3$ which is analogous to the measure case. We also introduce the notion of the Baire category density point of a subset with the Baire property of the Cantor space, and we prove that it generates a lower density operator with Borel values of class $\pmb \Pi^0_3$.

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Marek Balcerzak, Jacek Hejduk, Artur Wachowicz. 2022-07-14. Baire Category Lower Density Operators with Borel Values. https://arxiv.org/abs/2207.06821

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