On fields and ideals connected with notions of forcing

Tom 105 / 2006

W. Ku/laga Colloquium Mathematicum 105 (2006), 271-281 MSC: Primary 28A05, 03G05; Secondary 54E52. DOI: 10.4064/cm105-2-8

Streszczenie

We investigate an algebraic notion of decidability which allows a uniform investigation of a large class of notions of forcing. Among other things, we show how to build $\sigma $-fields of sets connected with Laver and Miller notions of forcing and we show that these $\sigma $-fields are closed under the Suslin operation.

Autorzy

  • W. Ku/lagaEstońska 40a/26
    54-401 Wroc/law, Poland
    e-mail

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