Geometric structures with a dense independent subset

DOI10.1007/s00029-015-0190-1zbMath1433.03075OpenAlexW1878950622MaRDI QIDQ907069

Alexander Berenstein, Evgueni Vassiliev

Publication date: 1 February 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-015-0190-1

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Model theory of ordered structures; o-minimality (03C64) Quantifier elimination, model completeness, and related topics (03C10)

Related Items (21)

Expansions of o-minimal structures by dense independent sets ⋮ Definable groups in dense pairs of geometric structures ⋮ Unnamed Item ⋮ Generic trivializations of geometric theories ⋮ Orbits of subsets of the monster model and geometric theories ⋮ Wild theories with o-minimal open core ⋮ Companionability characterization for the expansion of an o-minimal theory by a dense subgroup ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ A preservation theorem for theories without the tree property of the first kind ⋮ Supersimple structures with a dense independent subset ⋮ Superrosiness and dense pairs of geometric structures ⋮ Kinds of pregeometries of acyclic theories ⋮ Pairs of theories satisfying a Mordell–Lang condition ⋮ Forking geometry on theories with an independent predicate ⋮ PSEUDOFINITE H-STRUCTURES AND GROUPS DEFINABLE IN SUPERSIMPLE H-STRUCTURES ⋮ Dense codense predicates and the NTP₂ ⋮ Fields with a dense-codense linearly independent multiplicative subgroup ⋮ Ample pairs ⋮ Onn-dependent groups and fields II ⋮ CHARACTERIZING O-MINIMAL GROUPS IN TAME EXPANSIONS OF O-MINIMAL STRUCTURES ⋮ Kinds of pregeometries of cubic theories

Cites Work

• Expansions of o-minimal structures by dense independent sets
• Weak one-basedness
• Strongly dependent theories
• On lovely pairs of geometric structures
• Dimensions, matroids, and dense pairs of first-order structures
• On lovely pairs and the \((\exists y\in P)\) quantifier
• Generic structures and simple theories
• Groups definable in local fields and pseudo-finite fields
• Lovely pairs of models
• Stability in geometric theories
• Generic pairs of SU-rank 1 structures
• Externally definable sets and dependent pairs
• Forking geometry on theories with an independent predicate
• Weakly one-based geometric theories
• Generic trivializations of geometric theories
• The independence property in generalized dense pairs of structures
• Paires de structures stables
• On the weak non-finite cover property and the n-tuples of simple structures
• Des belles paires aux beaux uples
• Pseudoprojective strongly minimal sets are locally projective
• APPLICATIONS OF THE GROUP CONFIGURATION THEOREM IN SIMPLE THEORIES
• Stability theory, permutations of indiscernibles, and embedded finite models
• THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP
• Unnamed Item
• Unnamed Item
• Unnamed Item

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