One-basedness and groups of the form \(G/G ^{00}\)

DOI10.1007/S00153-011-0246-7zbMath1254.03071OpenAlexW2019571237MaRDI QIDQ647337

Davide Penazzi

Publication date: 23 November 2011

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-011-0246-7

zbMATH Keywords

o-minimality\(G^{00}\)1-basedbounded hyperdefinable groupsreal closed valued fieldstruncated groups

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Real algebraic and real-analytic geometry (14P99) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12)

Related Items (2)

One-basedness and groups of the form \(G/G ^{00}\) ⋮ One-basedness and reductions of elliptic curves over real closed fields

Cites Work

• Unnamed Item
• On NIP and invariant measures
• One-basedness and groups of the form \(G/G ^{00}\)
• On groups and fields definable in o-minimal structures
• One-dimensional groups over an o-minimal structure
• Linear o-minimal structures
• Ordered exponential fields
• Imaginaries in real closed valued fields
• Dependent first order theories, continued
• Model completeness of o-minimal structures expanded by Dedekind cuts
• A trichotomy theorem for o-minimal structures
• Paires de structures O-minimales
• Weakly o-minimal structures and real closed fields
• TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
• Groups, measures, and the NIP
• Embedded o-minimal structures

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