Cover Image

Ordered henselian valued fields: definability and Borel sets

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Krapp, Lothar Sebastian, Vermeulen, Floris
Format:	Preprint
Published:	2026
Subjects:	Logic Commutative Algebra Primary 03C64, 03C10, Secondary 12J10, 12L12, 12J25, 12J15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Definable henselian valuations on dp-minimal real fields
by: Krapp, Lothar Sebastian, et al.
Published: (2024)

Definable ranks
by: Krapp, Lothar Sebastian, et al.
Published: (2025)

The domination monoid in henselian valued fields
by: Hils, Martin, et al.
Published: (2021)

Embedding the prime model of real exponentiation into o-minimal exponential fields
by: Krapp, Lothar Sebastian
Published: (2023)

Beautiful pairs
by: Kovacsics, Pablo Cubides, et al.
Published: (2021)

AKE principles for deeply ramified fields
by: Jahnke, Franziska, et al.
Published: (2026)

Constant power maps on Hardy fields and transseries
by: Kaplan, Elliot
Published: (2024)

$T$-convexly valued o-minimal fields are definably spherically complete
by: Freni, Pietro
Published: (2024)

Restricted analytic valued fields with partial exponentiation
by: Ángel, Leonardo, et al.
Published: (2023)

Integration in Hensel minimal fields
by: Stout, Mathias, et al.
Published: (2025)

Automorphisms of valued fields: amalgamation and existential closedness
by: Dobrowolski, Jan, et al.
Published: (2025)

Differentially Henselian Fields
by: Ng, Gabriel
Published: (2023)

A dichotomy for $T$-convex fields with a monomial group
by: Kaplan, Elliot, et al.
Published: (2023)

A note on valued fields with finite group actions
by: Błaszkiewicz, Piotr, et al.
Published: (2025)

Construction of a valued field whose valuation ring is definable but neither $\exists\forall\exists$ nor $ \forall\exists\forall$-definable in the language of rings
by: Khani, Mohsen, et al.
Published: (2025)

$T$-convexity, Weakly Immediate Types, and $T$-$λ$-Spherical Completions of o-minimal Structures
by: Freni, Pietro
Published: (2024)

Absorbed Types and Derivations in Exponential o-Minimal Theories
by: Freni, Pietro
Published: (2025)

On Tameness, Measurability and the Independence Property
by: Krapp, Lothar Sebastian, et al.
Published: (2025)

Perfectoid fields in the language of rings
by: Jahnke, Franziska, et al.
Published: (2026)

On residual domination and types orthogonal to the value group
by: Kovacsics, Pablo Cubides, et al.
Published: (2024)

Analytic Ax-Kochen-Ersov theory with lifts of the residue field and value group
by: Bhardwaj, Neer, et al.
Published: (2024)

On certain definable coarsenings of valuation rings and their applications
by: Kuhlmann, Franz-Viktor
Published: (2025)

Model theory of tame valued fields and beyond: recent developments and open questions
by: Kuhlmann, Franz-Viktor
Published: (2025)

Growing Spines: Ad Infinitum et Ad Infinitesimalia
by: Boissonneau, Blaise, et al.
Published: (2025)

Definable henselian valuations in positive residue characteristic
by: Ketelsen, Margarete, et al.
Published: (2024)

The domination monoid in o-minimal theories
by: Mennuni, Rosario
Published: (2020)

Generic derivations on algebraically bounded structures
by: Antongiulio, Fornasiero, et al.
Published: (2023)

On the elementary theory of the real exponential field
by: Berarducci, Alessandro, et al.
Published: (2026)

Growing Spines Ad Infinitum
by: Boissonneau, Blaise, et al.
Published: (2025)

On algebraically maximal valued fields that are not defectless
by: Kuhlmann, Franz-Viktor
Published: (2026)

Model theory of valued fields with an endomorphism
by: Ramello, Simone
Published: (2024)

Dynamic computations inside the algebraic closure of a valued field
by: Kuhlmann, Franz-Viktor, et al.
Published: (2022)

Know Your Rank!
by: Boissonneau, Blaise, et al.
Published: (2025)

Kähler differentials of extensions of valuation rings and deeply ramified fields
by: Cutkosky, Steven Dale, et al.
Published: (2023)

Largeness and generalized t-henselianity
by: Johnson, Will
Published: (2025)

Interpretations of syntactic fragments of theories of fields
by: Anscombe, Sylvy, et al.
Published: (2023)

Exponential Fields: Lack of Generic Derivations
by: Antongiulio, Fornasiero, et al.
Published: (2024)

Existential fragments of theories of henselian valued fields
by: Anscombe, Sylvy, et al.
Published: (2026)

Transasymptotic expansions of o-minimal germs
by: Rolin, Jean-Philippe, et al.
Published: (2024)

On countable isotypic structures
by: Gvozdevsky, Pavel
Published: (2023)