Borel completeness of some ℵ0-stable theories

DOI10.4064/FM229-1-1zbMath1373.03056arXiv1211.0558OpenAlexW2112699123MaRDI QIDQ5499006

Saharon Shelah, Michael Chris Laskowski

Publication date: 11 February 2015

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0558

zbMATH Keywords

Borel reducibilityBorel complete\(\aleph_0\)-stable theory

Mathematics Subject Classification ID

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

Related Items (6)

Characterizing the existence of a Borel complete expansion ⋮ The complexity of isomorphism for complete theories of linear orders with unary predicates ⋮ Parallel Approach to the Levenberg-Marquardt Learning Algorithm for Feedforward Neural Networks ⋮ The isomorphism relation of theories with S-DOP in the generalised Baire spaces ⋮ \mathbf P-NDOP and \mathbf P-decompositions of ℵ_ε-saturated models of superstable theories ⋮ MOST(?) THEORIES HAVE BOREL COMPLETE REDUCTS

Cites Work

• Comparing Borel reducibility and depth of an \(\omega\)-stable theory
• An old friend revisited: countable models of \(\omega\)-stable theories
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• A proof of Vaught's conjecture for \(\omega\)-stable theories
• Existence of many \(L_{\infty,\lambda}\)-equivalent, non-isomorphic models of T of power \(\lambda\)
• Characterizing an \(\aleph_\varepsilon\)-saturated model of superstable NDOP theories by its \(\mathbb{L}_{\infty, \aleph_\varepsilon}\)-theory
• On the number of non-almost isomorphic models of T in a power
• A Borel reductibility theory for classes of countable structures
• Countable models of nonmultidimensional ℵ₀-stable theories
• \mathbf P-NDOP and \mathbf P-decompositions of ℵ_ε-saturated models of superstable theories

This page was built for publication: Borel completeness of some ℵ₀-stable theories