Automatic continuity for vector spaces with linear topology
General Topology
2026-03-02 v1 Rings and Algebras
Abstract
In this paper we classify all topological vector spaces with linear topology with the property that all algebraic automorphisms are continuous. Moreover, we prove some properties of these spaces.
Cite
@article{arxiv.2602.23617,
title = {Automatic continuity for vector spaces with linear topology},
author = {Samuel Quirino and Lucas H. R. de Souza},
journal= {arXiv preprint arXiv:2602.23617},
year = {2026}
}
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