A Continuous Paradoxical Colouring Rule Using Group Action

Tugkan Batu, Robert Samuel Simon, Grzegorz Tomkowicz

Given a probability space $(X,\mathcal{B},m)$, measure preserving transformations $g_1,\dots ,g_k$ of $X$, and a colour set $C$, a colouring rule is a way to colour the space with…