On normal precipitous ideals

Moti Gitik
2010 Israel Journal of Mathematics  
An old question of T. Jech and K. Prikry asks if an existence of a precipitous ideal implies necessary existence of a normal precipitous ideal. The aim of the paper is to prove some results in the positive direction. Thus, it is shown that under some mild assumptions, an existence of a precipitous ideal over ℵ 1 implies an existence of a normal precipitous ideal over ℵ 1 once a Cohen subset is added to ℵ 2 .
doi:10.1007/s11856-010-0009-x fatcat:wav46iqykvczbbdsdtzaas7tve