Asymptotic dimension of intersection graphs

We show that intersection graphs of compact convex sets in R n bounded aspect ratio have asymptotic dimension at most 2 + 1 . More generally, we this is the case for systems subsets any metric space Assouad–Nagata satisfy following condition: For each r , s > 0 and every point p number pairwise-disjoint elements diameter least system are distance from by a function /