Journal of Symbolic Logic

Some results about (+) proved by iterated forcing

Tetsuya Ishiu and Paul B. Larson

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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

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

First available in Project Euclid: 4 April 2012

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E35: Consistency and independence results

Forcing club guessing principles (+) ♢⁺


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.

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