We prove that-consistently-in the space ω* there are no P-sets with the ℂ-cc and any two fat P-sets with the ℂ⁺-cc are coabsolute.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-1, author = {Ryszard Frankiewicz and Magdalena Grzech and Pawe\l\ Zbierski}, title = {Fat P-sets in the Space $\omega$*}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {53}, year = {2005}, pages = {121-129}, zbl = {1112.03047}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-1} }
Ryszard Frankiewicz; Magdalena Grzech; Paweł Zbierski. Fat P-sets in the Space ω*. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 121-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-1/