Uniform algebras in the cantor and baire spaces

• Autorzy: Nowik A. , Reardon P.
• Języki publikacji: EN

Abstrakty

EN

For each pointclass Γ ⊆ P(2ω) define U[Γ] as the collection of all X⊆ 2ω such that the preimage f− 1(X) belongs to Γ for each continuous f : 2ω → 2ω. We study the properties of and possible rela-tionships 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[Γ] for the general case of Marczewski-Burstin representable σ-algebras Γ. We finish by posing some unsolved problems.

Słowa kluczowe

EN

Ramsey set; Laver tree; superefect tree; tree forcing; Marczewski-Burstin representasion

PL

zbiór Ramseya; drzewo Lavera; reprezentacja Marczewski-Burstin

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 2
• Strony: 227--238
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Nowik A.

autor

Reardon P.

• Department of Mathematics Gdańsk University,

Bibliografia

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