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

نویسندگان

چکیده

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 given equivalence relation. investigate those.

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2021

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-021-2153-x