One-dimensional groups definable in o-minimal structures

DOI10.1016/0022-4049(94)90128-7zbMath0815.03025OpenAlexW2020289805MaRDI QIDQ1339385

Adam Wojciech Strzeboński

Publication date: 1 December 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90128-7

zbMATH Keywords

real closed fieldo-minimal structureone-dimensional groups

Mathematics Subject Classification ID

Decidability and field theory (12L05) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Decidability of theories and sets of sentences (03B25) Ordered fields (12J15)

Related Items

SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES ⋮ Fusing o-minimal structures ⋮ Intersection theory for o-minimal manifolds

Cites Work

• One-dimensional Nash groups
• On groups and fields definable in o-minimal structures
• One-dimensional groups over an o-minimal structure
• Euler characteristic in semialgebraic and other o-minimal groups
• A generalization of the Tarski-Seidenberg theorem, and some nondefinability results
• Definable Sets in Ordered Structures. I