Shalom,
we have seminar in Logic and Topology this week, May,4.
Time : 14:0016:00, Seminar room 201.
Speaker: Assaf Rinot (BGU)
Title: An homogeneous Souslin tree at the successor of singular
Abstract: Jensen proved that in L, every successor cardinal admits a Souslin tree.
For successor of regular cardinals, Jensen used GCH+diamond, and for successor of singulars, GCH+square.
In addition, Jensen showed that diamond implies the existence of an *homogeneous* Souslin tree.
While Jensen’s arguments yields homogeneous Souslin trees at any successor of a regular
cardinal, the existence of such tree at the successor of a singular cardinal was unknown.
In this talk, we shall present a construction of an homogeneous Souslin tree at the successor of a singular cardinal (from the classical hypothesis: GCH+square). Reference: http://papers.assafrinot.com/?num=11
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