Model completeness of the new strongly minimal sets

DOI10.2307/2586613zbMath0945.03045OpenAlexW2155652392MaRDI QIDQ4934023

Kitty L. Holland

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.2307/2586613

zbMATH Keywords

saturated modelsstrong setmodel completenesspredimensionfusions\(d\)-basisstrongly minimal theories\(d\)-closurenormal code\(d\)-extensionminimal primitive pair

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Models of other mathematical theories (03C65) Categoricity and completeness of theories (03C35)

Related Items

An introduction to fusion of strongly minimal sets: The geometry of fusions ⋮ Towards a finer classification of strongly minimal sets ⋮ Constructing \(\omega\)-stable structures: Model completeness. ⋮ Model completeness of generic graphs in rational cases ⋮ Analytic Zariski structures and the Hrushovski construction ⋮ Constructing \(\omega\)-stable structures: rank \(k\)-fields ⋮ Notes on Quasiminimality and Excellence ⋮ An analytic Zariski structure over a field ⋮ STRONGLY MINIMAL STEINER SYSTEMS I: EXISTENCE

Cites Work

• A new strongly minimal set
• On generic structures
• Strongly minimal expansions of algebraically closed fields
• An introduction to fusion of strongly minimal sets: The geometry of fusions
• Stable generic structures
• Strongly minimal fusions of vector spaces