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Universal forcing notions and ideals |
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| Authors: | Andrzej Rosłanowski Saharon Shelah |
| Affiliation: | (1) Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, USA;(2) Einstein Institute of Mathematics, Edmond J. Safra Campus, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel;(3) Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA |
| 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. Both authors acknowledge support from the United States-Israel Binational Science Foundation (Grant no. 2002323). Also, we would like to thank the referee for valuable comments and suggestions concerning the exposition of the paper. This is publication 845 of the second author |
| Keywords: | ccc forcing notions Sweet forcing notions Universal forcing notions Universality parameters σ -ideals |
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