Invariance of domain in locally o-minimal structures

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Masato Fujita
Cited by: 0

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.

Fields of Study & Subjects

Advanced Topology and Set Theory Mathematical and Theoretical Analysis Algebraic Geometry and Number Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 January 2026
Document type
Preprint