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The canonical topology on dp-minimal fields
Journal of Mathematical Logic 18 (2):1850007 (2018)
Abstract
We construct a nontrivial definable type V field topology on any dp-minimal field K that is not strongly minimal, and prove that definable subsets of Kn have small boundary. Using this topology and...Author's Profile
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Citations of this work
Abelian groups definable in P-adically closed fields.Will Johnson & Y. A. O. Ningyuan - forthcoming - Journal of Symbolic Logic:1-22.
A conjectural classification of strongly dependent fields.Yatir Halevi, Assaf Hasson & Franziska Jahnke - 2019 - Bulletin of Symbolic Logic 25 (2):182-195.
Tame Topology over dp-Minimal Structures.Pierre Simon & Erik Walsberg - 2019 - Notre Dame Journal of Formal Logic 60 (1):61-76.
Definable V-topologies, Henselianity and NIP.Yatir Halevi, Assaf Hasson & Franziska Jahnke - 2019 - Journal of Mathematical Logic 20 (2):2050008.
Strongly NIP almost real closed fields.Lothar Sebastian Krapp, Salma Kuhlmann & Gabriel Lehéricy - 2021 - Mathematical Logic Quarterly 67 (3):321-328.
References found in this work
A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
Dp-Minimality: Basic Facts and Examples.Alfred Dolich, John Goodrick & David Lippel - 2011 - Notre Dame Journal of Formal Logic 52 (3):267-288.
Dp-minimal valued fields.Franziska Jahnke, Pierre Simon & Erik Walsberg - 2017 - Journal of Symbolic Logic 82 (1):151-165.
On dp-minimality, strong dependence and weight.Alf Onshuus & Alexander Usvyatsov - 2011 - Journal of Symbolic Logic 76 (3):737 - 758.
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