E. Kaplan

collaborators

2 papers

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…

math.CO2024

Hilbert polynomials for finitary matroids

Antongiulio Fornasiero, Elliot Kaplan

We consider a tuple $I^¦ = (I ¨ _{1}, \dots, I ¨ _{m})$ of commuting maps on a finitary matroid $X$ . We show that if $I^¦$ satisfies certain conditions, then for any finite set $A \subseteq X$ ,…

Monotone T-convex T-differential fields

Hilbert polynomials for finitary matroids

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