July 14, 2024Open Access

-Borel sets, -Baire spaces, and filtrations between topologies

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Abstract

Filtrations are certain transfinite sequences of topologies increasing in strength and interpolating between two given topologies and, with being stronger than. We prove general results on stabilization at of filtrations interpolating between and. These topological results involve an interplay between -Borel sets with respect to the topology and -Baireness of the topology.

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Sławomir Solecki (Sun,) studied this question.

synapsesocial.com/papers/68e60662b6db643587599ced https://doi.org/https://doi.org/10.48550/arxiv.2407.10130

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