15 citations · 173 across the 43 of their papers we have counts for
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Ordered fields dense in their real closure and definable convex valuations
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
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…
Strongly NIP almost real closed fields
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
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…
The Truncated Moment Problem for Unital Commutative R-Algebras
Raul E. Curto, Mehdi Ghasemi, Maria Infusino +1
We investigate when a linear functional defined on a linear subspace of a unital commutative real algebra admits an integral representation w.r.t. a positive Radon meas…
On Rayner structures
Lothar Sebastian Krapp, Salma Kuhlmann, Michele Serra
In this note, we study substructures of generalised power series fields induced by families of well-ordered subsets of the group of exponents. We characterise the set-theoretic and…