Possibly there is no uniformly completely Ramsey null set of size $2^{\omega }$
Volume 93 / 2002
Colloquium Mathematicum 93 (2002), 251-258
MSC: Primary 03E15; Secondary 03E20, 28E15.
DOI: 10.4064/cm93-2-4
Abstract
We show that under the axiom $\mathop {\rm CPA}\nolimits _{\rm cube}$ there is no uniformly completely Ramsey null set of size $2^{\omega }$. In particular, this holds in the iterated perfect set model. This answers a question of U. Darji.
