Let $A,B,C$ be three sets of cardinality ${\aleph }_1$. Is it true that, in any $2$-colouring of $A\times B\times C$, there must exist $A_1\subset A$, $B_1\subset B$, $C_1\subset C$, all of cardinality ${\aleph }_0$, such that $A_1\times B_1\times C_1$ is monochromatic?