The Cantor tree, the $\gamma$-property, and Baire function spaces
نویسندگان
چکیده
منابع مشابه
Uniform Algebras in the Cantor and Baire Spaces
For each pointclass Γ ⊆ P (2) define U [Γ] as the collection of all X ⊆ 2 such that the preimage f−1(X) belongs to Γ for each continuous f : 2 → 2. We study the properties of and possible relationships among the classes U [Γ], where Γ ranges over the σ-algebras (l), (m), the completely Ramsey sets, and the sets with the Baire property. We also prove some results about cardinal coefficients of U...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1993
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1993-1165061-x