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ON COHEN AND PRIKRY FORCING NOTIONS.
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- Author(s): BENHAMOU, TOM; GITIK, MOTI
- Source:
Journal of Symbolic Logic; Jun2024, Vol. 89 Issue 2, p858-904, 47p- Subject Terms:
- Source:
- Additional Information
- Abstract: (1) We show that it is possible to add $\kappa ^+$ -Cohen subsets to $\kappa $ with a Prikry forcing over $\kappa $. This answers a question from [9]. (2) A strengthening of non-Galvin property is introduced. It is shown to be consistent using a single measurable cardinal which improves a previous result by S. Garti, S. Shelah, and the first author [5]. (3) A situation with Extender-based Prikry forcings is examined. This relates to a question of H. Woodin. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of Journal of Symbolic Logic is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Abstract:
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