Similar but not the same: Various versions of clubsuit sign do not coincide

Mirna Džamonja; Saharon Shelah

doi:10.2307/2586758

Similar but not the same: Various versions of clubsuit sign do not coincide

Mirna Džamonja^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We consider various versions of the Clubsuit sign principle. This principle is a known consequence of ◇. It is well known that ◇ 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 sign. We consider some other variants of Clubsuit sign as well.

Original language	English
Pages (from-to)	180-198
Number of pages	19
Journal	Journal of Symbolic Logic
Volume	64
Issue number	1
DOIs	https://doi.org/10.2307/2586758
State	Published - Mar 1999

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abstract = "We consider various versions of the Clubsuit sign principle. This principle is a known consequence of ◇. It is well known that ◇ 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 sign. We consider some other variants of Clubsuit sign as well.",

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Similar but not the same: Various versions of clubsuit sign do not coincide

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