On isoperimetric local-Bollobás-Thomason inequalities

Luis J. Alías, Bernardo González Merino, Beatriz Marín Gimeno

We prove the following isoperimetric-type inequality: for every convex body $K$ in ${\mathbb{R}}^n$ and some $\sigma \subset [n]:=\{1,\dots ,n\}$ there exists a suitable Hanner polytope $B_K$…