Journal of Symbolic Logic

Similar but Not the Same: Various Versions of $\clubsuit$ Do Not Coincide

Mirna Dzamonja and Saharon Shelah

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Abstract

We consider various versions of the $\clubsuit$ principle. This principle is a known consequence of $\lozenge$. It is well known that $\lozenge$ is not sensitive to minor changes in its definition, e.g., changing the guessing requirement form "guessing exactly" to "guessing modulo a finite set". We show however, that this is not true for $\clubsuit$. We consider some other variants of $\clubsuit$ as well.

Article information

Source
J. Symbolic Logic, Volume 64, Issue 1 (1999), 180-198.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745699

Mathematical Reviews number (MathSciNet)
MR1683902

Zentralblatt MATH identifier
0926.03054

JSTOR
links.jstor.org

Citation

Dzamonja, Mirna; Shelah, Saharon. Similar but Not the Same: Various Versions of $\clubsuit$ Do Not Coincide. J. Symbolic Logic 64 (1999), no. 1, 180--198. https://projecteuclid.org/euclid.jsl/1183745699


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