The completeness of free Boolean topological groups
General Topology
2025-07-17 v1
Abstract
It is proved that the free Boolean topological group on a Tychonoff space is Weil complete if and only if the space is Dieudonn\'e complete. This result provides a positive answer to a question posed by the first listed author in 2015.
Cite
@article{arxiv.2507.12289,
title = {The completeness of free Boolean topological groups},
author = {Ol'ga V. Sipacheva and Mikhail G. Tkachenko},
journal= {arXiv preprint arXiv:2507.12289},
year = {2025}
}