Triviality, NDOP and stable varieties

DOI10.1016/0168-0072(93)90170-IzbMath0806.03024OpenAlexW2088908623MaRDI QIDQ688801

Bradd Hart, Sergei Starchenko, Anand Pillay

Publication date: 28 November 1993

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(93)90170-i

zbMATH Keywords

structure theorem1-based theoriesdimensional order propertyperfectly trivial theoriesstable varieties

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Varieties (08B99)

Cites Work

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• The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap
• Some coinductive graphs
• Second-order quantifiers and the complexity of theories
• Models of superstable Horn theories
• The spectrum problem. III: Universal theories
• Trivial pursuit: remarks on the main gap
• Categorical Horn classes. I
• The structure of decidable locally finite varieties
• Countable models of 1-based theories
• Stable theories without dense forking chains
• Complete Coinductive Theorems. II
• Some trivial considerations
• A Structure Theorem for Strongly Abelian Varieties with Few Models
• Addendum to “A structure theorem for strongly abelian varieties”
• Vaught's Conjecture for Varieties
• On one-based theories

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