# Assaf Rinot: An homogeneous Souslin tree at the successor of singular (Second talk)

Shalom,
we have seminar in Logic and Topology this week, May,11.
Time : 14:00-16:00, Seminar room 201.
Speaker: Assaf Rinot (BGU)
Title: An homogeneous Souslin tree at the successor of singular (Second talk) 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 a combination of his ideas 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 such tree (and from the classical hyopthesis, GCH+square).
Reference: http://papers.assafrinot.com/?num=11