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

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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Bibliographische Detailangaben
Veröffentlicht in:	Israel journal of mathematics 2021-04, Vol.242 (2), p.933-953
1. Verfasser:	Solecki, Sławomir
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Approximation Complexity Equivalence Group Theory and Generalizations Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical Topology
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0021-2172 1565-8511
DOI:	10.1007/s11856-021-2153-x