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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-LOD6-0006-0027

Czasopismo

Journal of Applied Analysis

Tytuł artykułu

Uniform algebras in the cantor and baire spaces

Autorzy Nowik, A.  Reardon, P. 
Treść / Zawartość
Warianty tytułu
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
PL zbiór Ramseya   drzewo Lavera   reprezentacja Marczewski-Burstin  
EN Ramsey set   Laver tree   superefect tree   tree forcing   Marczewski-Burstin representasion  
Wydawca Walter de Gruyter GmbH & Co. KG
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.
Bibliografia
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