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math.LO2013
Many countable support iterations of proper forcings preserve Souslin trees
Heike Mildenberger, Saharon Shelah
We show that many countable support iterations of proper forcings preserve Souslin trees. We establish sufficient conditions in terms of games and we draw connections to other pres…
math.LO2013
The Filter Dichotomy Principle Does not Imply the Semifilter Trichotomy Principle
Heike Mildenberger
We answer Blass' question from 1989 of whether the inequality $\gu < \gro$ is strictly stronger than the filter dichotomy principle affirmatively. We show that there is a forcing e…