Invariance of domain in locally o-minimal structures

Fuente: arXiv
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1. Verfasser: Fujita, Masato
Format: Preprint
Veröffentlicht: 2026
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_version_ 1866917223430356992
author Fujita, Masato
author_facet Fujita, Masato
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_18062
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Invariance of domain in locally o-minimal structures
Fujita, Masato
Logic
03C64
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.
title Invariance of domain in locally o-minimal structures
topic Logic
03C64
url https://arxiv.org/abs/2601.18062