Invariance of domain in locally o-minimal structures

20260 citationsJournal Articlegreen Open Access

Authors

Masato Fujita · Japan Coast Guard Academy

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.

Topics & Keywords

Advanced Topology and Set Theory Fuzzy and Soft Set Theory Advanced Algebra and Logic

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: ArXiv.org

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