Good frames in the Hart-Shelah example

DOI10.1007/S00153-017-0599-7zbMath1496.03147arXiv1607.03885OpenAlexW3101158486MaRDI QIDQ1661687

Will Boney, Sebastien Vasey

Publication date: 16 August 2018

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03885

zbMATH Keywords

abstract elementary classesgood framesuniqueness triplesHart-Shelah example

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)

Related Items (5)

The Hart-Shelah example, in stronger logics ⋮ Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes ⋮ TAMENESS AND FRAMES REVISITED ⋮ Tameness from two successive good frames ⋮ The categoricity spectrum of large abstract elementary classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Canonical forking in AECs
• Infinitary stability theory
• Building independence relations in abstract elementary classes
• Superstability and symmetry
• Superstability from categoricity in abstract elementary classes
• Chains of saturated models in AECs
• Symmetry in abstract elementary classes with amalgamation
• Downward categoricity from a successor inside a good frame
• Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\)
• Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)
• Categoricity, amalgamation, and tameness
• Tameness, uniqueness triples and amalgamation
• Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\)
• Categoricity for abstract classes with amalgamation
• Toward categoricity for classes with no maximal models
• Quasiminimal abstract elementary classes
• Non-forking frames in abstract elementary classes
• Saturation and solvability in abstract elementary classes with amalgamation
• Categoricity in abstract elementary classes with no maximal models
• FORKING AND SUPERSTABILITY IN TAME AECS
• Uniqueness of limit models in classes with amalgamation
• EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES
• Tameness and extending frames
• TAMENESS FROM LARGE CARDINAL AXIOMS
• TAMENESS AND FRAMES REVISITED
• GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES

This page was built for publication: Good frames in the Hart-Shelah example