Residue Field Domination in Real Closed Valued Fields
نویسندگان
چکیده
منابع مشابه
Stable Domination and Independence in Algebraically Closed Valued Fields
This book addresses a gap in the model-theoretic understanding of valued fields that has, until now, limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part I of the book is a study of stably dominated types. These form a subset of the type space of a theory that behaves in many ways like the space of types in a st...
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The paper shows elimination of imaginaries for real closed valued fields to the geometric sorts which were introduced in the [6]. We also show that this result is in some sense optimal.
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We investigate the embeddings of the value group and residue field of a real closed valued field A in Aeq via quantifier elimination in a three sorted language. We classify the one types of field elements in a real closed valued field. Finally, we investigate some of the linear structure in Aeq induced by the valuation ring V and introduce the geometric sorts. In a subsequent paper we show that...
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We give a presentation of the construction of motivic integration, that is, a homomorphism between Grothendieck semigroups that are associated with a first-order theory of algebraically closed valued fields, in the fundamental work of Hrushovski and Kazhdan [12]. We limit our attention to a simple major subclass of V -minimal theories of the form ACVF S , that is, the theory of algebraically cl...
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These notes are intended to accompany the tutorial series ‘Model theory of algebraically closed valued fields’ in the Workshop ‘An introduction to recent applications of model theory’, Cambridge March 29–April 8, 2005. They do not contain any new results, except for a slightly new method of exposition, due to Lippel, of parts of the proof of elimination of imaginaries, in Sections 8 and 9. They...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 2019
ISSN: 0029-4527
DOI: 10.1215/00294527-2019-0015