Hilbert polynomials for finitary matroids

Antongiulio Fornasiero, Elliot Kaplan

We consider a tuple $\hat{I}¦=(\ddot{I}{•}_1,\dots ,\ddot{I}{•}_m)$ of commuting maps on a finitary matroid $X$. We show that if $\hat{I}¦$ satisfies certain conditions, then for any finite set $A\subseteq X$,…