No large sets which can be translated away from every Marczewski null set
Abstract
There is no set of size continuum which is “s0-shiftable”, i. e., which can be translated away from every set in the Marczewski ideal s0 (where a set of reals is in s0 if for every perfect set there is a perfect subset disjoint from it). (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)