Invariance of domain in locally o-minimal structures
Logic
2026-01-27 v1
Abstract
Definable continuous injective maps defined on definable open sets into the Euclidean spaces of the same dimension are open maps in definably complete locally o-minimal expansions of ordered groups.
Cite
@article{arxiv.2601.18062,
title = {Invariance of domain in locally o-minimal structures},
author = {Masato Fujita},
journal= {arXiv preprint arXiv:2601.18062},
year = {2026}
}