Perfect set properties in models of ZF
Volume 208 / 2010
Fundamenta Mathematicae 208 (2010), 249-262
MSC: 03E02, 03E25, 03E35.
DOI: 10.4064/fm208-3-2
Abstract
We study several perfect set properties of the Baire space which follow from the Ramsey property $\omega \rightarrow (\omega )^\omega $. In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.
