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Logic seminar- Shimon Garti, "Forcing axioms and saturated ideals" | Einstein Institute of Mathematics

Logic seminar- Shimon Garti, "Forcing axioms and saturated ideals"

Date: 
Wed, 19/04/201716:00-18:00
Location: 
Ross 70
Abstract: Paul Larson proved that under Martin's axiom and large continuum there are no Laver ideals over aleph_1. He asked about weakly Laver ideals under some forcing axiom.
We shall address two issues:
1. Under Martin's axiom and the continuum is above aleph_2, there are no weakly Laver ideals over aleph_1..
2. Under Baumgartner's axiom, the parallel of Larson's theorem holds for ideals over aleph_2.