Set Theory Seminar - Tom Benhamou (TAU), 'Projections of Tree-Prikry forcing'
Date:
Wed, 13/03/201914:00-15:30
תאריך:
ד', 13/03/2019 - 14:00 עד 15:30
See also: Set Theory, Events & Seminars, Seminars
מיקום:
Ross 63
Title: Projections of Tree-Prikry forcing.
Abstract:
Gitik, Kanovei and Koepke proved that if U is a normal measure over \kappa then the projections of Prikry forcing with U is essentially Prikry forcing with U.
The questions remains regarding to the Tree-Prikry forcing. Gitik and B. showed that without normality, it is possible that a Tree-Prikry generic sequence adds a Add(\kappa,1)
generic function.
In this talk we wish to examine which forcing notions can be projections of Tree-Prikry forcing under different large cardinals assumptions.
Specifically, we will concentrate on \kappa-distributive forcings, \kappa-strategically closed forcings and
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