A descriptive Main Gap Theorem

DOI10.1142/S0219061320500257zbMath1477.03188arXiv1909.07841OpenAlexW3038084225MaRDI QIDQ4991906

Francesco Mangraviti, Luca Motto Ros

Publication date: 4 June 2021

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

Full work available at URL: https://arxiv.org/abs/1909.07841

zbMATH Keywords

stability theoryclassification of theoriescomplexity of isomorphismgeneralized desriptive set theory

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classification theory, stability, and related concepts in model theory (03C45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalized Borel-reducibility counterpart of Shelah's main gap theorem
• Continuous versus Borel reductions
• Existence of many \(L_{\infty,\lambda}\)-equivalent, non-isomorphic models of T of power \(\lambda\)
• Borel sets via games
• Classification theory and the number of non-isomorphic models.
• Generalized Descriptive Set Theory and Classification Theory
• A complicated ω-stable depth 2 theory
• Counting the number of equivalence classes of Borel and coanalytic equivalence relations
• Quelques précisions sur la D.O.P. et la profondeur d'une théorie
• Invariant sets in topology and logic

This page was built for publication: A descriptive Main Gap Theorem