Universal forcing notions and ideals

Andrzej Rosłanowski; Saharon Shelah

doi:10.1007/s00153-007-0037-3

Universal forcing notions and ideals

Andrzej Rosłanowski^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Our main result states that 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 σ-ideals determined by those universality parameters.

Original language	English
Pages (from-to)	179-196
Number of pages	18
Journal	Archive for Mathematical Logic
Volume	46
Issue number	3-4
DOIs	https://doi.org/10.1007/s00153-007-0037-3
State	Published - Apr 2007

Keywords

Sweet forcing notions
Universal forcing notions
Universality parameters
ccc forcing notions
σ-ideals

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Universal forcing notions and ideals

Abstract

Keywords

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