Compact domination for groups definable in linear o-minimal structures

DOI10.1007/S00153-009-0139-1zbMath1181.03043OpenAlexW1980537483MaRDI QIDQ1031827

Pantelis E. Eleftheriou

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1007/s00153-009-0139-1

zbMATH Keywords

compact dominationlinear o-minimal structurePillay Conjecture

Mathematics Subject Classification ID

Compact groups (22C05) Nonstandard models in mathematics (03H05) Model theory of ordered structures; o-minimality (03C64)

Related Items (5)

Definable groups as homomorphic images of semi-linear and field-definable groups ⋮ Invariance results for definable extensions of groups ⋮ Pillay's conjecture for groups definable in weakly o‐minimal non‐valuational structures ⋮ Compact domination for groups definable in linear o-minimal structures ⋮ Non-standard lattices and o-minimal groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On NIP and invariant measures
• A descending chain condition for groups definable in o-minimal structures
• Compact domination for groups definable in linear o-minimal structures
• On groups and fields definable in o-minimal structures
• Linear o-minimal structures
• Intersection theory for o-minimal manifolds
• Definable homomorphisms of abelian groups in o-minimal structures
• Hyperimaginaries and automorphism groups
• Generic sets in definably compact groups
• Returning to semi-bounded sets
• Definable Compactness and Definable Subgroups of o-Minimal Groups
• TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
• An additive measure in o-minimal expansions of fields
• Groups, measures, and the NIP
• Groups definable in ordered vector spaces over ordered division rings

This page was built for publication: Compact domination for groups definable in linear o-minimal structures