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Publications Influence

On Strongly NIP Ordered Fields and Definable Convex Valuations

- L. S. Krapp, S. Kuhlmann, Gabriel Lehéricy
- Mathematics
- 24 October 2018

We investigate what henselian valuations on ordered fields are definable in the language of ordered rings. This leads towards a systematic study of the class of ordered fields which are dense in… Expand

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Algebraic and Model Theoretic Properties of O-minimal Exponential Fields

- L. S. Krapp
- Mathematics
- 2019

An exponential exp on an ordered field (K,+,−, ·, 0, 1, <) is an order-preserving isomorphism from the ordered additive group (K,+, 0, <) to the ordered multiplicative group of positive elements (… Expand

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On Strongly NIP Ordered Fields

- L. S. Krapp, S. Kuhlmann
- Physics
- 24 October 2018

The following conjecture is due to Shelah$-$Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or it admits a non-trivial definable henselian valuation, in the… Expand

On Rayner structures

- L. S. Krapp, S. Kuhlmann, Michele Serra
- Mathematics
- 7 April 2020

In this note, we study substructures of generalised power series fields induced by families of well-ordered subsets of the group of exponents. We relate set theoretic and algebraic properties of the… Expand

Ordered fields dense in their real closure and definable convex valuations

- L. S. Krapp, S. Kuhlmann, Gabriel Lehéricy
- Mathematics
- 22 October 2020

In this paper, we undertake a systematic model and valuation theoretic study of the class of ordered fields which are dense in their real closure. We apply this study to determine definable henselian… Expand

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Schanuel ’ s Conjecture and Exponential Fields

- L. S. Krapp
- 2015

In recent years, Schanuel’s Conjecture has played an important role in Transcendental Number Theory as well as decidability problems in Model Theory. The connection between these two areas was made… Expand

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Value groups and residue fields of models of real exponentiation

- L. S. Krapp
- Mathematics, Computer Science
- J. Log. Anal.
- 8 March 2018

TLDR

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Constructions of the real numbers a set theoretical approach

- L. S. Krapp
- 2014

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Strongly NIP almost real closed fields

- L. S. Krapp, S. Kuhlmann, Gabriel Lehéricy
- Mathematics
- 27 October 2020

The following conjecture is due to Shelah-Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non-trivial definable henselian valuation, in the language… Expand

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