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/