Sharp Vaught's conjecture for some classes of partial orders

DOI10.1016/j.apal.2024.103411arXiv2212.13947OpenAlexW4390843565MaRDI QIDQ6119791

Miloš S. Kurilić

Publication date: 20 February 2024

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

Full work available at URL: https://arxiv.org/abs/2212.13947

zbMATH Keywords

treepartial orderdirect productlinear orderVaught's conjecturedisjoint union

Mathematics Subject Classification ID

Partial orders, general (06A06) Total orders (06A05) Model theory of denumerable and separable structures (03C15) Categoricity and completeness of theories (03C35)

Cites Work

• Theories of linear order
• Model theory
• Theory of relations. Transl. from the French by P. Clote. With an appendix by Norbert Sauer.
• Relational structures having finitely many full-cardinality restrictions
• Some relational structures with polynomial growth and their associated algebras. I: Quasi-polynomiality of the profile
• Vaught's conjecture for monomorphic theories
• The first order properties of products of algebraic systems
• Arborescent Structures. II: Interpretability in the Theory of Trees
• Application de la Notion de Relation Presque‐Enchainable au Denombrement des Restrictions Finies D'une Relation
• On $ℵ_0$-categoricity and the theory of trees
• The number of countable isomorphism types of complete extensions of the theory of Boolean algebras
• VAUGHT’S CONJECTURE FOR ALMOST CHAINABLE THEORIES
• Vaught's conjecture for theories admitting finite monomorphic decompositions
• $ℵ_0$-categoricity of linear orderings
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