Real spectrum of ring of definable functions

DOI10.3792/pjaa.80.116zbMath1059.03030OpenAlexW2021458517MaRDI QIDQ1764341

Fujita Masato

Publication date: 24 February 2005

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116014789

zbMATH Keywords

real spectrumhomeomorphismo-minimal structurepolynomial boundednessArtin-Lang propertyo-minimal expansion of the real fieldring of definable \(C^r\) functions

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64) Real algebra (13J30)

Cites Work

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• Expansions of the real field with power functions
• On rings of semialgebraic functions
• Geometric categories and o-minimal structures
• Definable Sets in Ordered Structures. I
• Definable Sets in Ordered Structures. II
• Exponentiation is Hard to Avoid

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