Annals of Pure and Applied Logic 161 (7):879-894 (2010)
| Abstract |
For a large natural class of forcing notions, we prove general equivalence theorems between forcing absoluteness statements, regularity properties, and transcendence properties over and the core model . We use our results to answer open questions from set theory of the reals
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| DOI | 10.1016/j.apal.2009.10.005 |
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References found in this work BETA
Δ12-Sets of Reals.Jaime I. Ihoda & Saharon Shelah - 1989 - Annals of Pure and Applied Logic 42 (3):207-223.
Solovay-Type Characterizations for Forcing-Algebras.Jörg Brendle & Benedikt Löwe - 1999 - Journal of Symbolic Logic 64 (3):1307-1323.
View all 15 references / Add more references
Citations of this work BETA
Questions on Generalised Baire Spaces.Yurii Khomskii, Giorgio Laguzzi, Benedikt Löwe & Ilya Sharankou - 2016 - Mathematical Logic Quarterly 62 (4-5):439-456.
Regularity Properties on the Generalized Reals.Sy David Friedman, Yurii Khomskii & Vadim Kulikov - 2016 - Annals of Pure and Applied Logic 167 (4):408-430.
Preserving Levels of Projective Determinacy by Tree Forcings.Fabiana Castiblanco & Philipp Schlicht - 2021 - Annals of Pure and Applied Logic 172 (4):102918.
Infinite Computations with Random Oracles.Merlin Carl & Philipp Schlicht - 2017 - Notre Dame Journal of Formal Logic 58 (2):249-270.
Cichoń’s Diagram, Regularity Properties and $${\varvec{\delta}^1_3}$$ Δ 3 1 Sets of Reals.Vera Fischer, Sy David Friedman & Yurii Khomskii - 2014 - Archive for Mathematical Logic 53 (5-6):695-729.
View all 11 citations / Add more citations
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