A note on CM-triviality and the geometry of forking

DOI10.2307/2586549zbMath0945.03047OpenAlexW2029589059MaRDI QIDQ4953232

Anand Pillay

Publication date: 27 September 2000

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

Full work available at URL: https://doi.org/10.2307/2586549

zbMATH Keywords

coordinatizationstability theoryampleone-basedstable fieldLascar rankCM-trivialforking geometrieshierarchy of geometrical conditions

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (17)

Mekler's construction preserves \(CM\)-triviality ⋮ Ample thoughts ⋮ A model-theoretic study of right-angled buildings ⋮ A (possibly new) structure without the canonical base property ⋮ Supersimple structures with a dense independent subset ⋮ CM-triviality and relational structures ⋮ CM-trivial structures without the canonical base property ⋮ Forking geometry on theories with an independent predicate ⋮ Building-like geometries of finite Morley rank ⋮ Stable definability and generic relations ⋮ A free pseudospace ⋮ Directed free pseudospaces ⋮ Ample pairs ⋮ Reducts of stable, CM-trivial theories ⋮ Comparing axiomatizations of free pseudospaces ⋮ Fields definable in the free group ⋮ \(\aleph_0\)-categorical structures with a predimension

Cites Work

• Unnamed Item
• A new strongly minimal set
• CM-triviality and stable groups
• The geometry of forking and groups of finite Morley rank

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