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Adding many Baumgartner clubs
Archive for Mathematical Logic 56 (7-8):797-810 (2017)
Abstract
I define a homogeneous \–c.c. proper product forcing for adding many clubs of \ with finite conditions. I use this forcing to build models of \=\aleph _2\), together with \\) and \ large and with very strong failures of club guessing at \.Author's Profile
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Citations of this work
A forcing notion collapsing $\aleph _3 $ and preserving all other cardinals.David Asperó - 2018 - Journal of Symbolic Logic 83 (4):1579-1594.
References found in this work
Forcing closed unbounded sets.Uri Abraham & Saharon Shelah - 1983 - Journal of Symbolic Logic 48 (3):643-657.
Some results about (+) proved by iterated forcing.Tetsuya Ishiu & Paul B. Larson - 2012 - Journal of Symbolic Logic 77 (2):515-531.
The comparison of various club guessing principles.Tetsuya Ishiu - 2015 - Annals of Pure and Applied Logic 166 (5):583-600.
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