Notre Dame Journal of Formal Logic

A Lifting Argument for the Generalized Grigorieff Forcing

Radek Honzík and Jonathan Verner

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Abstract

In this short paper, we describe another class of forcing notions which preserve measurability of a large cardinal κ from the optimal hypothesis, while adding new unbounded subsets to κ. In some ways these forcings are closer to the Cohen-type forcings—we show that they are not minimal—but, they share some properties with treelike forcings. We show that they admit fusion-type arguments which allow for a uniform lifting argument.

Article information

Source
Notre Dame J. Formal Logic Volume 57, Number 2 (2016), 221-231.

Dates
Received: 11 April 2013
Accepted: 26 November 2013
First available in Project Euclid: 7 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.ndjfl/1452175099

Digital Object Identifier
doi:10.1215/00294527-3459833

Mathematical Reviews number (MathSciNet)
MR3482744

Zentralblatt MATH identifier
1350.03036

Subjects
Primary: 03E35: Consistency and independence results 03E55: Large cardinals

Keywords
Grigorieff forcing lifting argument preserving measurability

Citation

Honzík, Radek; Verner, Jonathan. A Lifting Argument for the Generalized Grigorieff Forcing. Notre Dame J. Formal Logic 57 (2016), no. 2, 221--231. doi:10.1215/00294527-3459833. https://projecteuclid.org/euclid.ndjfl/1452175099


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References

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