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arXiv · 1908.10480

Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations

Sławomir Solecki
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Abstract

We introduce the notion of filtration between topologies and study its stabilization properties. Descriptive set theoretic complexity plays a role in this study. Filtrations lead to natural transfinite sequences approximating a given equivalence relation. We investigate those.

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Sławomir Solecki. 2019-08-27. Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations. https://arxiv.org/abs/1908.10480

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