Dedekind Completeness and the Algebraic Complexity of o-Minimal Structures

DOI10.4153/CJM-1992-050-1zbMath0767.03016OpenAlexW2334800220MaRDI QIDQ4022896

Matatyahu Rubin, Charles I. Steinhorn, Alan H. Mekler

Publication date: 17 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1992-050-1

zbMATH Keywords

ordered structure\(n\)-ary theory\(o\)-minimal theorybinary theoriesDedekind complete elementary extensionDedekind complete model

Mathematics Subject Classification ID

Models of other mathematical theories (03C65) Basic properties of first-order languages and structures (03C07)

Related Items (5)

Constructing a group-interval in \(O\)-minimal structures ⋮ Definable structures in o-minimal theories: one dimensional types ⋮ Construction d'un groupe dans les structures C-minimales ⋮ Interpretable groups are definable ⋮ Does weak quasi-o-minimality behave better than weak o-minimality?

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