Locally injective maps in o-minimal structures without poles are surjective

DOI10.1090/S0002-9939-96-03352-7zbMath0859.03013WikidataQ114093939 ScholiaQ114093939MaRDI QIDQ4714698

Adam H. Lewenberg

Publication date: 7 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euler characteristiclocal homeomorphismexpansion of a divisible ordered abelian groupexpansion of the realslocally injective mapso-minimal structures without poles

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Real-valued functions in general topology (54C30) Properties of classes of models (03C52) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Functions of several variables (26B99)

Related Items (1)

Fiberwise properties of definable sets and functions in o-minimal structures

Cites Work

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• On groups and fields definable in o-minimal structures
• Dines-Fourier-Motzkin quantifier elimination and an application of corresponding transfer principles over ordered fields
• Between groups and rings
• Definable Sets in Ordered Structures. I
• A structure theorem for semibounded sets in the reals
• T-convexity and tame extensions

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