A strong failure of \(\aleph _0\)-stability for atomic classes

DOI10.1007/s00153-018-0623-6OpenAlexW2802874581MaRDI QIDQ1712931

Saharon Shelah, Michael Chris Laskowski

Publication date: 24 January 2019

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

Full work available at URL: https://arxiv.org/abs/1701.05474

zbMATH Keywords

non-structureatomic modelspseudo-algebraic

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Categoricity and completeness of theories (03C35)

Cites Work

• Iterated elementary embeddings and the model theory of infinitary logic
• Classification theory and the number of non-isomorphic models
• How special are Cohen and random forcings, i. e. Boolean algebras of the family of subsets of reals moduli meagre or null
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• CONSTRUCTING MANY ATOMIC MODELS IN ℵ₁
• HENKIN CONSTRUCTIONS OF MODELS WITH SIZE CONTINUUM
• Borel complexity and potential canonical Scott sentences
• Logic with the quantifier “there exist uncountably many”

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