Dependent pairs

DOI10.2178/jsl/1305810753zbMath1220.03031arXiv1003.5025OpenAlexW3037126975MaRDI QIDQ3011109

Ayhan Günaydın, Philipp Hieronymi

Publication date: 28 June 2011

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

Full work available at URL: https://arxiv.org/abs/1003.5025

zbMATH Keywords

real fieldo-minimal structuresdense pairsMann propertypairs of ordered structurestame pairs

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64)

Related Items (11)

ON NON-COMPACT p-ADIC DEFINABLE GROUPS ⋮ Wild theories with o-minimal open core ⋮ The field of reals with a predicate for the real algebraic numbers and a predicate for the integer powers of two ⋮ Structure theorems in tame expansions of o-minimal structures by a dense set ⋮ Externally definable sets and dependent pairs ⋮ The independence property in generalized dense pairs of structures ⋮ DISTAL AND NON-DISTAL PAIRS ⋮ Fields with a dense-codense linearly independent multiplicative subgroup ⋮ Non-standard lattices and o-minimal groups ⋮ Distality for the asymptotic couple of the field of logarithmic transseries ⋮ Expansions of the real field by discrete subgroups of 𝐺𝑙_{𝑛}(ℂ)

Cites Work

• The field of reals with a predicate for the powers of two
• Linear equations in variables which lie in a multiplicative group
• Thorn independence in the field of real numbers with a small multiplicative group
• The real field with an irrational power function and a dense multiplicative subgroup
• Defining additive subgroups of the reals from convex subsets
• Defining the set of integers in expansions of the real field by a closed discrete set
• T-convexity and tame extensions II
• Weakly o-minimal structures and real closed fields
• THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP

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