Topological fields with a generic derivation

DOI10.1016/j.apal.2022.103211OpenAlexW2996059915MaRDI QIDQ2111113

Françoise Point, Pablo Cubides Kovacsics

Publication date: 23 December 2022

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07912

zbMATH Keywords

open coredifferential fieldselimination of imaginariestopological fieldsgeneric derivations

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Derivations and commutative rings (13N15) Differential algebra (12H05) Non-Archimedean valued fields (12J25) Model theory of fields (12L12)

Related Items (1)

Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological differential fields
• On lovely pairs of geometric structures
• Dimensions, matroids, and dense pairs of first-order structures
• On differentially closed ordered fields
• Dimension of definable sets, algebraic boundedness and Henselian fields
• Cell decomposition and dimension function in the theory of closed ordered differential fields
• Formally \(p\)-adic fields
• Differential valuations
• A note on the axioms for differentially closed fields of characteristic zero
• Imaginaries and invariant types in existentially closed valued differential fields
• Definability of types and VC density in differential topological fields
• Distal and non-distal NIP theories
• Regularity lemma for distal structures
• Definable equivalence relations and zeta functions of groups. With an appendix by Raf Cluckers
• Imaginaries in real closed valued fields
• Tame topology over dp-minimal structures
• Some remarks concerning the theory of ordered differentially closed fields.
• A model complete theory of valued D-fields
• Asymptotic Differential Algebra and Model Theory of Transseries
• Relative decidability and definability in henselian valued fields
• Definable sets in algebraically closed valued fields: elimination of imaginaries
• First order topological structures and theories
• The model theory of ordered differential fields
• The canonical topology on dp-minimal fields
• Embedded Picard–Vessiot extensions
• The Theory of Ordered Abelian Groups does not have the Independence Property
• Cell Decomposition and Dimension Functions in First-Order Topological Structures
• Topological differential fields and dimension functions
• Distality in valued fields and related structures
• Distal and non‐distal behavior in pairs
• Generic derivations on o-minimal structures
• STRONG DENSITY OF DEFINABLE TYPES AND CLOSED ORDERED DIFFERENTIAL FIELDS
• HENSELIAN VALUED FIELDS AND inp-MINIMALITY
• A Guide to NIP Theories
• Expansions which introduce no new open sets
• The uniform companion for large differential fields of characteristic 0
• DP-MINIMAL VALUED FIELDS
• DISTAL AND NON-DISTAL PAIRS
• Solution of a problem of Tarski

This page was built for publication: Topological fields with a generic derivation