Perfect set theorems
نویسندگان
چکیده
منابع مشابه
Infinite dimensional perfect set theorems
What largeness and structural assumptions on A ⊆ [R]ω can guarantee the existence of a non-empty perfect set P ⊆ R such that [P ]ω ⊆ A? Such a set P is called A-homogeneous. We show that even if A is open, in general it is independent of ZFC whether for a cardinal κ, the existence of an A-homogeneous set H ∈ [R]κ implies the existence of a non-empty perfect A-homogeneous set. On the other hand,...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2008
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm201-2-6