Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations
Logic
2020-04-15 v2 General Topology
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.
Cite
@article{arxiv.1908.10480,
title = {Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations},
author = {Sławomir Solecki},
journal= {arXiv preprint arXiv:1908.10480},
year = {2020}
}