On freedom and independence in hypergraphs of models of theories

DOI10.17377/semi.2018.15.049zbMath1436.03188arXiv1802.08094MaRDI QIDQ2285193

B. Sh. Kulpeshov, Sergeĭ Vladimirovich Sudoplatov

Publication date: 16 January 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08094

zbMATH Keywords

independent setsfree setelementary theoryhypergraph of modelscomplete union of hypergraphs

Mathematics Subject Classification ID

Hypergraphs (05C65) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (1)

A.D. Taimanov and model theory in Kazakhstan

Cites Work

• Vaught's conjecture for quite o-minimal theories
• Hypergraphs of prime models and distributions of countable models of small theories
• Minimal first-order structures
• On distributions of countable models of disjoint unions of Ehrenfeucht theories
• Linearly ordered theories which are nearly countably categorical
• Expansion of a model of a weakly o-minimal theory by a family of unary predicates
• On Theories Having Three Countable Models
• Weakly o-minimal structures and real closed fields
• ON RELATIVE SEPARABILITY IN HYPERGRAPHS OF MODELS OF THEORIES
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