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Perfect set properties in models of ZF

Carlos Augusto Di Prisco; Franklin C. Galindo — 2010

Fundamenta Mathematicae

We study several perfect set properties of the Baire space which follow from the Ramsey property $ω \to {(ω)}^{ω}$ . In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.

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