We study several perfect set properties of the Baire space which follow from the Ramsey property $ω → (ω)^{ω}$. In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.
Departamento de Lógica y Filosofía de la Ciencia, Escuela de Filosofía, Facultad de Humanidades y Educación, Universidad Central de Venezuela, Apartado 47209.A, Caracas 1041-A, Venezuela