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math.CO2022
Paradoxical decompositions and finitary colouring rules
Robert Samuel Simon, Grzegorz Tomkowicz
We define "paradoxical colouring rule", show its relation to measure theoretic paradoxes, and demonstrate that proper vertex colouring can be a paradoxical colouring rule.
math.CO2022
A Measure Theoretic Paradox from a continuous colouring rule
Robert Simon, Grzegorz Tomkowicz
Given a probability space , measure preserving transformations of , and a colour set , a colouring rule is a way to colour the space with…