Journal of Symbolic Logic

Some results about (+) proved by iterated forcing

Tetsuya Ishiu and Paul B. Larson

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Abstract

We shall show the consistency of CH+¬(+) 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 on ω₁.

Article information

Source
J. Symbolic Logic Volume 77, Issue 2 (2012), 515-531.

Dates
First available in Project Euclid: 4 April 2012

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1333566635

Digital Object Identifier
doi:10.2178/jsl/1333566635

Mathematical Reviews number (MathSciNet)
MR2963019

Zentralblatt MATH identifier
1251.03055

Subjects
Primary: 03E35: Consistency and independence results

Keywords
Forcing club guessing principles (+) ♢⁺

Citation

Ishiu, Tetsuya; Larson, Paul B. Some results about (+) proved by iterated forcing. J. Symbolic Logic 77 (2012), no. 2, 515--531. doi:10.2178/jsl/1333566635. https://projecteuclid.org/euclid.jsl/1333566635.


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