PSEUDO-FINITE SETS, PSEUDO-O-MINIMALITY

DOI10.1017/jsl.2020.58zbMath1485.03136arXiv1908.01660OpenAlexW2965225503MaRDI QIDQ5159489

Nadav Meir

Publication date: 27 October 2021

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01660

zbMATH Keywords

o-minimalitylocal o-minimalitydefinable completenesspseudo-o-minimalitytype completeness

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64) Quantifier elimination, model completeness, and related topics (03C10) Model theory of denumerable and separable structures (03C15) Categoricity and completeness of theories (03C35)

Cites Work

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• Relative Pfaffian closure for definably complete Baire structures
• Locally o-minimal structures and structures with locally o-minimal open core
• A FUNDAMENTAL DICHOTOMY FOR DEFINABLY COMPLETE EXPANSIONS OF ORDERED FIELDS
• O-MINIMALISM
• THE NON-AXIOMATIZABILITY OF O-MINIMALITY
• Expansions of subfields of the real field by a discrete set
• Cuts in cyclically ordered sets
• Expansions of dense linear orders with the intermediate value property
• An analogue of the Baire category theorem
• Inter-Relations Among the Four Principal Types of Order

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