We study several perfect set properties of the Baire space which follow from the Ramsey property . In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-2,
author = {Carlos Augusto Di Prisco and Franklin C. Galindo},
title = {Perfect set properties in models of ZF},
journal = {Fundamenta Mathematicae},
volume = {209},
year = {2010},
pages = {249-262},
zbl = {1196.03055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-2}
}
Carlos Augusto Di Prisco; Franklin C. Galindo. Perfect set properties in models of ZF. Fundamenta Mathematicae, Tome 209 (2010) pp. 249-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-2/