Superstability and symmetry

DOI10.1016/J.APAL.2016.05.004zbMath1432.03057arXiv1507.01990OpenAlexW2963048977MaRDI QIDQ324243

Monica M. VanDieren

Publication date: 10 October 2016

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

Full work available at URL: https://arxiv.org/abs/1507.01990

zbMATH Keywords

symmetrysplittingsuperstabilityabstract elementary classeslimit models

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50) Abstract elementary classes and related topics (03C48) Other model constructions (03C30)

Related Items (17)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Abstract elementary classes stable in \(\aleph_{0}\) ⋮ Toward a stability theory of tame abstract elementary classes ⋮ Good frames in the Hart-Shelah example ⋮ Saturation and solvability in abstract elementary classes with amalgamation ⋮ On the uniqueness property of forking in abstract elementary classes ⋮ STABILITY RESULTS ASSUMING TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING ⋮ EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES ⋮ Superstability, Noetherian rings and pure-semisimple rings ⋮ Superstability from categoricity in abstract elementary classes ⋮ Symmetry in abstract elementary classes with amalgamation ⋮ Downward categoricity from a successor inside a good frame ⋮ Symmetry and the union of saturated models in superstable abstract elementary classes ⋮ Tameness from two successive good frames ⋮ On superstability in the class of flat modules and perfect rings ⋮ The categoricity spectrum of large abstract elementary classes ⋮ Algebraic description of limit models in classes of abelian groups

Cites Work

• Building independence relations in abstract elementary classes
• Erratum to: ``Categoricity in abstract elementary classes with no maximal models
• Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal
• Categoricity for abstract classes with amalgamation
• Toward categoricity for classes with no maximal models
• Categoricity in abstract elementary classes with no maximal models
• FORKING AND SUPERSTABILITY IN TAME AECS
• Uniqueness of limit models in classes with amalgamation
• CATEGORICITY FROM ONE SUCCESSOR CARDINAL IN TAME ABSTRACT ELEMENTARY CLASSES
• Shelah's categoricity conjecture from a successor for tame abstract elementary classes
• Categoricity of an abstract elementary class in two successive cardinals
• Symmetry and the union of saturated models in superstable abstract elementary classes
• Unnamed Item
• Unnamed Item

This page was built for publication: Superstability and symmetry