A REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURES
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Publication:5891805
DOI10.1017/jsl.2013.4zbMath1338.03068arXiv0912.4753OpenAlexW2802465005MaRDI QIDQ5891805
Publication date: 30 September 2014
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.4753
General properties and structure of real Lie groups (22E15) Model theory of ordered structures; o-minimality (03C64)
Related Items (7)
Topological groups, \(\mu\)-types and their stabilizers ⋮ A definability criterion for connected Lie groups ⋮ Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups ⋮ THE ELLIS GROUP CONJECTURE AND VARIANTS OF DEFINABLE AMENABILITY ⋮ On central extensions and definably compact groups in o-minimal structures ⋮ Definable topological dynamics and real Lie groups ⋮ Commutators in groups definable in o-minimal structures
Cites Work
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- Simple algebraic and semialgebraic groups over real closed fields
- TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
- DEFINABLY COMPACT ABELIAN GROUPS
- The universal covering homomorphism in o‐minimal expansions of groups
- Lie groups beyond an introduction
- Linear groups definable in o-minimal structures
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