Fundamental groups and descriptive set theory
Logic
2025-12-03 v1 Algebraic Topology
Abstract
We study the homotopy of loops in a fixed path-connected Polish space from a descriptive set-theoretic viewpoint. We show that many analytic equivalence relations arise this way, and many do not. We also study the "free group" over an equivalence relation.
Cite
@article{arxiv.2512.02355,
title = {Fundamental groups and descriptive set theory},
author = {Fanxin Wu},
journal= {arXiv preprint arXiv:2512.02355},
year = {2025}
}