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arxiv: math/0404146 · v2 · pith:YGMOCEALnew · submitted 2004-04-07 · 🧮 math.LO

Universal forcing notions and ideals

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keywords forcingnotionsdeterminedparametersuniversaluniversalityaddsanswer
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The main result of this paper is a partial answer to [math.LO/9909115, Problem 5.5]: a finite iteration of Universal Meager forcing notions adds generic filters for many forcing notions determined by universality parameters. We also give some results concerning cardinal characteristics of the sigma-ideals determined by those universality parameters.

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