Fat P-sets in the Space ω* Ryszard Frankiewicz, Magdalena Grzech, Paweł Zbierski (2005) Bulletin of the Polish Academy of Sciences. Mathematics 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.