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Dense codense predicates and the NTP 2
Mathematical Logic Quarterly 62 (1-2):16-24 (2016)
Abstract
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 also strong.Author's Profile
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Citations of this work
Fields with a dense-codense linearly independent multiplicative subgroup.Alexander Berenstein & Evgueni Vassiliev - 2020 - Archive for Mathematical Logic 59 (1-2):197-228.
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Supersimple structures with a dense independent subset.Alexander Berenstein, Juan Felipe Carmona & Evgueni Vassiliev - 2017 - Mathematical Logic Quarterly 63 (6):552-573.
Preservation of NATP.Jinhoo Ahn, Joonhee Kim, Hyoyoon Lee & Junguk Lee - 2025 - Journal of Mathematical Logic 25 (1).
Vector spaces with a dense-codense generic submodule.Alexander Berenstein, Christian D'Elbée & Evgueni Vassiliev - 2024 - Annals of Pure and Applied Logic 175 (7):103442.
References found in this work
Theories without the tree property of the second kind.Artem Chernikov - 2014 - Annals of Pure and Applied Logic 165 (2):695-723.
Forking and dividing in NTP₂ theories.Artem Chernikov & Itay Kaplan - 2012 - Journal of Symbolic Logic 77 (1):1-20.
Lovely pairs of models.Itay Ben-Yaacov, Anand Pillay & Evgueni Vassiliev - 2003 - Annals of Pure and Applied Logic 122 (1-3):235-261.
On lovely pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2010 - Annals of Pure and Applied Logic 161 (7):866-878.
Tree indiscernibilities, revisited.Byunghan Kim, Hyeung-Joon Kim & Lynn Scow - 2014 - Archive for Mathematical Logic 53 (1-2):211-232.
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