Journal of Symbolic Logic

Saccharinity

Jakob Kellner and Saharon Shelah

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Abstract

We present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. As an application, we introduce a new method to force (weak) measurability of all definable sets with respect to a certain (non-ccc) ideal.

Article information

Source
J. Symbolic Logic, Volume 76, Issue 4 (2011), 1153-1183.

Dates
First available in Project Euclid: 11 October 2011

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1318338844

Digital Object Identifier
doi:10.2178/jsl/1318338844

Mathematical Reviews number (MathSciNet)
MR2895391

Zentralblatt MATH identifier
1247.03109

Subjects
Primary: 03E35: Consistency and independence results 03E40: Other aspects of forcing and Boolean-valued models

Citation

Kellner, Jakob; Shelah, Saharon. Saccharinity. J. Symbolic Logic 76 (2011), no. 4, 1153--1183. doi:10.2178/jsl/1318338844. https://projecteuclid.org/euclid.jsl/1318338844


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