Any countable topological $\mathbb F_p$-vector space has a closed discrete basis
General Topology
2026-05-19 v2 Group Theory
Abstract
It is proved that any countable topological vector space over a finite field or, equivalently, any countable Abelian topological group of prime exponent has a closed discrete basis.
Keywords
Cite
@article{arxiv.2604.07948,
title = {Any countable topological $\mathbb F_p$-vector space has a closed discrete basis},
author = {Ol'ga Sipacheva},
journal= {arXiv preprint arXiv:2604.07948},
year = {2026}
}