A convex combinatorial property of compact sets in the plane and its roots in lattice theory

Gábor Czédli, Árpád Kurusa

K. Adaricheva and M. Bolat have recently proved that if $U_0$ and $U_1$ are circles in a triangle with vertices $A_0,A_1,A_2$, then there exist $j\in \{0,1,2\}$ and $k\in \{0,1\}$ s…