Returning to semi-bounded sets

DOI10.2178/jsl/1243948329zbMath1171.03022OpenAlexW2024358585MaRDI QIDQ3630581

Yaa'cov Peterzil

Publication date: 4 June 2009

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2178/jsl/1243948329

zbMATH Keywords

definably compact groupsordered abelian groupssemi-bounded structuresexpansions of o-minimal structures

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64)

Related Items (15)

Definable groups as homomorphic images of semi-linear and field-definable groups ⋮ Definable quotients of locally definable groups ⋮ Expansions of real closed fields that introduce no new smooth functions ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Invariance results for definable extensions of groups ⋮ Coverings by open cells ⋮ Pillay's conjecture for groups definable in weakly o‐minimal non‐valuational structures ⋮ On Pillay's conjecture in the general case ⋮ Generic stability, forking, and þ-forking ⋮ On central extensions and definably compact groups in o-minimal structures ⋮ Compact domination for groups definable in linear o-minimal structures ⋮ Non-standard lattices and o-minimal groups ⋮ MAXIMAL COMPACT SUBGROUPS IN THE O-MINIMAL SETTING ⋮ CHARACTERIZING O-MINIMAL GROUPS IN TAME EXPANSIONS OF O-MINIMAL STRUCTURES ⋮ Interpretable groups are definable

Cites Work

• On groups and fields definable in o-minimal structures
• Linear o-minimal structures
• Structure theorems for o-minimal expansions of groups
• Between groups and rings
• Generic sets in definably compact groups
• A trichotomy theorem for o-minimal structures
• A growth dichotomy for o-minimal expansions of ordered groups
• DEFINABLY COMPACT ABELIAN GROUPS
• On Groups and Rings Definable In O-Minimal Expansions of Real Closed Fields
• Groups definable in ordered vector spaces over ordered division rings

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