Invariance of domain in locally o-minimal structures

Masato Fujita

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arXiv · 2601.18062

Invariance of domain in locally o-minimal structures

Masato Fujita

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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.

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Masato Fujita. 2026-01-26. Invariance of domain in locally o-minimal structures. https://arxiv.org/abs/2601.18062

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