Categoricity and U-rank in excellent classes

DOI10.2178/jsl/1067620189zbMath1055.03025OpenAlexW2141994230MaRDI QIDQ4650286

Olivier Lessmann

Publication date: 9 February 2005

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1067620189

zbMATH Keywords

free groupscategoricitypregeometryminimal modelprime modelcomplexity of complete typespseudo-analytic structures

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Categoricity and completeness of theories (03C35)

Related Items (4)

Simplicity and uncountable categoricity in excellent classes ⋮ INTERPRETING GROUPS AND FIELDS IN SOME NONELEMENTARY CLASSES ⋮ Forking in short and tame abstract elementary classes ⋮ Uncountably categorical local tame abstract elementary classes with disjoint amalgamation

Cites Work

• A minimal prime model with an infinite set of indiscernibles
• Totally categorical groups and rings
• Shelah's stability spectrum and homogeneity spectrum in finite diagrams
• Ranks and pregeometries in finite diagrams
• Strong splitting in stable homogeneous models
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• The classification of excellent classes
• Generalizing Morley's Theorem
• A rank for the class of elementary submodels of a superstable homogeneous model
• Simple homogeneous models
• On strongly minimal sets
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