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Języki publikacji
Abstrakty
Let χ be the minimum cardinality of a subset of $^ω 2$ that cannot be made convergent by multiplication with a single Toeplitz matrix. By an application of a creature forcing we show that 𝔰 < χ is consistent. We thus answer a question by Vojtáš. We give two kinds of models for the strict inequality. The first is the combination of an ℵ₂-iteration of some proper forcing with adding ℵ₁ random reals. The second kind of models is obtained by adding δ random reals to a model of $MA_{<κ}$ for some δ ∈ [ℵ₁,κ). It was a conjecture of Blass that 𝔰 = ℵ₁ < χ = κ holds in such a model. For the analysis of the second model we again use the creature forcing from the first model.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
167-176
Opis fizyczny
Daty
wydano
2002
Twórcy
autor
- Institut für formale Logik, Universität Wien, Währinger Str. 25, A-1090 Vienna, Austria
autor
- Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-2-4