Model theory of valued fields

The model theory of separably tame valued fields

Journal of Algebra ◽

10.1016/j.jalgebra.2015.09.022 ◽

2016 ◽

Vol 447 ◽

pp. 74-108 ◽

Cited By ~ 2

Author(s):

Franz-Viktor Kuhlmann ◽

Koushik Pal

Keyword(s):

Model Theory ◽

Valued Fields

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Model Theory of Henselian Valued Fields

Studies in Logic and the Foundations of Mathematics - Logic Colloquium'87, Proceedings of the Colloquium held in Granada ◽

10.1016/s0049-237x(08)70118-6 ◽

1989 ◽

pp. v-vi

Author(s):

H.-D. Ebbinghaus ◽

J. Fernandez-Prida ◽

M. Garrido ◽

D. Lascar ◽

M. Rodriquez Artalejo

Keyword(s):

Model Theory ◽

Valued Fields ◽

Henselian Valued Fields

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Lectures on the Model Theory of Valued Fields

Model Theory in Algebra, Analysis and Arithmetic - Lecture Notes in Mathematics ◽

10.1007/978-3-642-54936-6_4 ◽

2014 ◽

pp. 55-157 ◽

Cited By ~ 2

Author(s):

Lou van den Dries

Keyword(s):

Model Theory ◽

Valued Fields

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Additive polynomials and their role in the model theory of valued fields

Logic in Tehran ◽

10.1017/9781316755747.012 ◽

2017 ◽

pp. 160-203 ◽

Cited By ~ 1

Author(s):

Franz-Viktor Kuhlmann

Keyword(s):

Model Theory ◽

Valued Fields

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The algebra and model theory of tame valued fields

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2014-0029 ◽

2016 ◽

Vol 2016 (719) ◽

pp. 1-43 ◽

Cited By ~ 6

Author(s):

Franz-Viktor Kuhlmann

Keyword(s):

Model Theory ◽

Valued Fields ◽

Valued Field

AbstractA henselian valued field

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Imaginaries and invariant types in existentially closed valued differential fields

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2016-0036 ◽

2019 ◽

Vol 2019 (750) ◽

pp. 157-196 ◽

Cited By ~ 1

Author(s):

Silvain Rideau

Keyword(s):

Model Theory ◽

Extension Property ◽

Valued Fields ◽

Invariant Extension ◽

Open Questions ◽

Existentially Closed ◽

Differential Fields ◽

Abstract Criterion

Abstract We answer three related open questions about the model theory of valued differential fields introduced by Scanlon. We show that they eliminate imaginaries in the geometric language introduced by Haskell, Hrushovski and Macpherson and that they have the invariant extension property. These two results follow from an abstract criterion for the density of definable types in enrichments of algebraically closed valued fields. Finally, we show that this theory is metastable.

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