On a colorful problem by Dol'nikov concerning translates of convex bodies

Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado

In this note we study a conjecture by Jerónimo-Castro, Magazinov and Soberón which generalized a question posed by Dol'nikov. Let $F_1,F_2,\dots ,F_n$ be families of translates of a…