The isomorphism relation of theories with S-DOP in the generalised Baire spaces

DOI10.1016/j.apal.2021.103044zbMath1486.03078arXiv1803.08070OpenAlexW2991027884MaRDI QIDQ2067635

Miguel Moreno

Publication date: 18 January 2022

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

Full work available at URL: https://arxiv.org/abs/1803.08070

zbMATH Keywords

isomorphismclassification theorygeneralised descriptive set theorydimensional order property

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Classification theory, stability, and related concepts in model theory (03C45) Set-theoretic model theory (03C55)

Cites Work

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• A generalized Borel-reducibility counterpart of Shelah's main gap theorem
• Inclusion modulo nonstationary
• The number of countable differentially closed fields
• An exposition of Shelah's 'main gap': counting uncountable models of \(\omega\)-stable and superstable theories
• Classification theory and the number of non-isomorphic models.
• Generalized Descriptive Set Theory and Classification Theory
• Constructing strongly equivalent nonisomorphic models for unsuperstable theories, Part C
• On the reducibility of isomorphism relations
• On $\Sigma _1^1$-completeness of quasi-orders on $\kappa ^\kappa $
• On ‐complete equivalence relations on the generalized Baire space
• Borel completeness of some ℵ₀-stable theories

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