Borsukova Hipoteza: Matematički Problem ili Zadatak na Matematičkoj Olimpijadi

Milojica Jaćimović, Žana Kovijanić

The history and solution of the following Borsuk's hypothesis is presented: ``Each subset of positive diameter in the $d$-dimensional space can be divided into $d+1$ subsets having less diameters''. Some variants of this hypothesis were given as problems on the Tournament of Towns.