Topologies and ranks for families of theories in various languages

DOI10.26516/1997-7670.2022.40.78zbMath1496.03149OpenAlexW4285144986MaRDI QIDQ2171763

Sergeĭ Vladimirovich Sudoplatov

Publication date: 9 September 2022

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: https://mathizv.isu.ru/en/article/file?id=1412

zbMATH Keywords

topologyranklanguagefamily of theories

Mathematics Subject Classification ID

Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Models with special properties (saturated, rigid, etc.) (03C50) Other model constructions (03C30)

Cites Work

• Unnamed Item
• Closures and generating sets related to combinations of structures
• Definable families of theories, related calculi and ranks
• Approximations of theories
• Formulas and properties for families of theories of abelian groups
• Topologies, ranks, and closures for families of theories. I
• Topologies, ranks, and closures for families of theories. II
• Ranks for families of theories and their spectra
• Special relations for formulae, their equivalence relations and theories
• Hierarchy of families of theories and their rank characteristics
• Ranks for families of theories of abelian groups
• Properties of ranks for families of strongly minimal theories
• Ranks for families of all theories of given languages
• Categoricity in Power

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