On perturbations of Hilbert spaces and probability algebras with a generic automorphism

Autor: Alexander Berenstein, Itaï Ben Yaacov

Publikováno v: Journal of Logic and Analysis, Vol 1, Iss 0 (2009)

Externí odkaz: https://doaj.org/article/6ca3328c88df41738b828c1c5c3bf44b

Fields with a dense-codense linearly independent multiplicative subgroup

Autor: Evgueni Vassiliev, Alexander Berenstein

Publikováno v: Archive for Mathematical Logic. 59:197-228

We study expansions of an algebraically closed field K or a real closed field R with a linearly independent subgroup G of the multiplicative group of the field or the unit circle group $${\mathbb {S}}(R)$$, satisfying a density/codensity condition (i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba82e8ad975bddd63d848065bdb48139
https://doi.org/10.1007/s00153-019-00683-w

Hilbert spaces with generic predicates

Autor: Andrés Villaveces, Tapani Hyttinen, Alexander Berenstein

Publikováno v: Revista Colombiana de Matemáticas, Volume: 52, Issue: 1, Pages: 107-130, Published: JUN 2018
Berenstein, Alexander; Hyttinen, Tapani; & Andrés. (2007). Hilbert Spaces with Generic Predicates. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/96x144nh
Repositorio UN
Universidad Nacional de Colombia
instacron:Universidad Nacional de Colombia

We study the model theory of expansions of Hilbert spaces by generic predicates. We first prove the existence of model companions for generic expansions of Hilbert spaces in the form first of a distance function to a random substructure, then a dista

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59b906fe85132edf9da7a97bac30ea36
https://doi.org/10.15446/recolma.v1n52.74566

Dense codense predicates and the NTP2

Autor: Hyeung-Joon Kim, Alexander Berenstein

Publikováno v: Mathematical Logic Quarterly. 62:16-24

We show that if T is any geometric theory having the NTP2 then the corresponding theories of lovely pairs of models of T and of H-structures associated to T also have the NTP2. We also prove that if T is strong then the same two expansions of T are a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3dc6bc71c5768397073796f88f203a9d
https://doi.org/10.1002/malq.201400056

Geometric structures with a dense independent subset

Autor: Evgueni Vassiliev, Alexander Berenstein

Publikováno v: Selecta Mathematica. 22:191-225

We study a generalization of the expansion by an independent dense set, introduced by Dolich, Miller, and Steinhorn in the o-minimal context, to the setting of geometric structures. We introduce the notion of an H-structure of a geometric theory T, s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3140da2ecc48d37ec40503d6776e750b
https://doi.org/10.1007/s00029-015-0190-1