Nigel Pynn-Coates

collaborators

4 papers

math.LO2026

Model theory of differential-henselian pre- $H$ -fields

Nigel Pynn-Coates

Pre- $H$ -fields are ordered valued differential fields satisfying some basic axioms coming from transseries and Hardy fields. We study pre- $H$ -fields that are differential-Hensel-Li…

math.LO2025

Dimension theory for the asymptotic couple of the field of logarithmic transseries

Allen Gehret, Elliot Kaplan, Nigel Pynn-Coates

In this paper we completely characterize all dimension functions on all models of the theory $T_{l o g}$ of the asymptotic couple of the field of logarithmic transseries (Dimension…

math.LO2025

Dimension and topology in transserial tame pairs

Nigel Pynn-Coates

Every maximal Hardy field has a proper elementary differential subfield that is Dedekind complete in the maximal Hardy field. This pair of Hardy fields is a transserial tame pair,…

math.LO2025

Monotone $T$ -convex $T$ -differential fields

Elliot Kaplan, Nigel Pynn-Coates

Let $T$ be a complete, model complete o-minimal theory extending the theory of real closed ordered fields and assume that $T$ is power bounded. Let $K$ be a model of $T$ equipped w…

Model theory of differential-henselian pre-H-fields

Dimension theory for the asymptotic couple of the field of logarithmic transseries

Dimension and topology in transserial tame pairs

Monotone T-convex T-differential fields

Model theory of differential-henselian pre- $H$ -fields

Monotone $T$ -convex $T$ -differential fields