Abstract
We formulate a condition which is (strongly) preserved by revised countable support iteration, implies ℵ 1 is satisfied e.g. by of Namba forcing, and any ℵ 1-complete forcing. So we can iterate forcing collapsing ℵ 2 up to some large cardinal.
Our aim is to improve the results chapter of X to equi-consistency results.
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© 1982 Springer-Verlag Berlin Heidelberg
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Shelah, S. (1982). Changing Cofinalities; Equi-Consistency Results. In: Proper Forcing. Lecture Notes in Mathematics, vol 940. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21543-2_11
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DOI: https://doi.org/10.1007/978-3-662-21543-2_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11593-9
Online ISBN: 978-3-662-21543-2
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