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Set Theory Seminar - Tom Benhamou (TAU), 'Projections of Tree-Prikry forcing' | Institute of Earth Sciences

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 יצוא אירוע iCal url