THE NUMBER OF ATOMIC MODELS OF UNCOUNTABLE THEORIES

DOI10.1017/jsl.2017.25zbMath1447.03004arXiv1607.07833OpenAlexW2962745037MaRDI QIDQ4638976

Douglas Ulrich

Publication date: 2 May 2018

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

Full work available at URL: https://arxiv.org/abs/1607.07833

zbMATH Keywords

uniformizationweak diamondatomic modelsuncountable model theory

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Set-theoretic model theory (03C55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)
• Whitehead groups may not be free even assuming CH. II
• Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\)
• Classification theory and the number of non-isomorphic models
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• A guide to classical and modern model theory
• Jensen's diamond principle and its relatives
• Omitting types and the real line
• On uniqueness of prime models
• Prime and atomic models
• On the existence of atomic models

This page was built for publication: THE NUMBER OF ATOMIC MODELS OF UNCOUNTABLE THEORIES