Cohen Preservation and Independence
نویسندگان
چکیده
We provide a general preservation theorem for preserving selective independent families along countable support iterations. The gives framework number of results in the literature concerning models which independence i is strictly below c, including iterations Sacks forcing, Miller partition h-perfect tree forcings, coding with perfect trees. Moreover, applying theorem, we show that i=ℵ1 Lite model. An important aspect notion “Cohen preservation”, discuss detail.
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2023
ISSN: ['0168-0072', '1873-2461']
DOI: https://doi.org/10.1016/j.apal.2023.103291