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Universal forcing notions and ideals

Andrzej Roslanowski·Saharon Shelah
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Abstract

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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Andrzej Roslanowski, Saharon Shelah. 2004-07-27. Universal forcing notions and ideals. https://arxiv.org/abs/math/0404146

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