Michael C. Kopreski

collaborators

3 papers

math.GT2025

Geometric models and asymptotic dimension for infinite-type surface mapping class groups

Michael C. Kopreski, George Shaji

Let $S$ be an infinite-type surface and let $G \leq Map (S)$ be a locally bounded Polish subgroup. We construct a metric graph $M$ of simple arcs and curves on $S$ pr…

math.GT2025

The asymptotic dimension of the grand arc graph is infinite

Michael C. Kopreski

Let $I^£$ be a compact, orientable surface of genus $g$ , and let $I^$ be a relation on $I ¨ _{0} (\partial I^£)$ such that the prescribed arc graph $A (I^£, I^)$ is Gromov-hyperbol…

math.GT2024

Automorphisms of the sphere complex of an infinite graph

Thomas Hill, Michael C. Kopreski, Rebecca Rechkin +2

For a locally finite, connected graph $I^$ , let $Map (I^)$ denote the group of proper homotopy equivalences of $I^$ up to proper homotopy. Excluding sporadic cases, w…