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Some results about (+) proved by iterated forcing
Journal of Symbolic Logic 77 (2):515-531 (2012)
Abstract
We shall show the consistency of CH+ᄀ(+) and CH+(+)+ there are no club guessing sequences on ω₁. We shall also prove that ◊⁺ does not imply the existence of a strong club guessing sequence ω₁DOI
10.2178/jsl/1333566635
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Citations of this work
Separating club-guessing principles in the presence of fat forcing axioms.David Asperó & Miguel Angel Mota - 2016 - Annals of Pure and Applied Logic 167 (3):284-308.
Adding many Baumgartner clubs.David Asperó - 2017 - Archive for Mathematical Logic 56 (7-8):797-810.
Compactness and guessing principles in the Radin extensions.Omer Ben-Neria & Jing Zhang - 2023 - Journal of Mathematical Logic 23 (2).
ℙmax variations for separating club guessing principles.Tetsuya Ishiu & Paul B. Larson - 2012 - Journal of Symbolic Logic 77 (2):532-544.
Square with built-in diamond-plus.Assaf Rinot & Ralf Schindler - 2017 - Journal of Symbolic Logic 82 (3):809-833.
References found in this work
Club guessing sequences and filters.Tetsuya Ishiu - 2005 - Journal of Symbolic Logic 70 (4):1037-1071.
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