One-dimensional groups over an o-minimal structure

DOI10.1016/0168-0072(91)90024-GzbMath0747.03016OpenAlexW1974138074MaRDI QIDQ1182478

Vladimir Razenj

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0168-0072(91)90024-g

zbMATH Keywords

circlereal algebraic groupsreal linegroups definable over an \(o\)-minimal structureone-dimensional definably connected Hausdorff manifolds

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60)

Related Items (15)

One-dimensional groups definable in o-minimal structures ⋮ On variants of \(o\)-minimality ⋮ Solvable groups definable in o-minimal structures. ⋮ Connected components of definable groups and o-minimality. I ⋮ One-basedness and groups of the form \(G/G ^{00}\) ⋮ Groups of dimension two and three over o-minimal structures ⋮ Superrosy dependent groups having finitely satisfiable generics ⋮ TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY ⋮ A descending chain condition for groups definable in o-minimal structures ⋮ Locally definable groups in o-minimal structures ⋮ O-minimal spectra, infinitesimal subgroups and cohomology ⋮ Definable group extensions in semi-bounded o-minimal structures ⋮ One-basedness and reductions of elliptic curves over real closed fields ⋮ Intersection theory for o-minimal manifolds ⋮ Connected components of definable groups, and o-minimality. II.

Cites Work

• Unnamed Item
• On groups and fields definable in o-minimal structures
• Groups of dimension two and three over o-minimal structures
• Definable sets in ordered structures
• First order topological structures and theories
• Definable Sets in Ordered Structures. II
• Groups of small Morley rank
• Minimale Gruppen

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