Journal of Symbolic Logic 76 (4):1322-1340 (2011)

Abstract
We prove the statement in the title
Keywords forcing technique   minimum cofinality of an ultrapower   cofinality of the symmetric group
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DOI 10.2178/jsl/1318338852
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References found in this work BETA

Groupwise Density and the Cofinality of the Infinite Symmetric Group.Simon Thomas - 1998 - Archive for Mathematical Logic 37 (7):483-493.
Cofinalities of Countable Ultraproducts: The Existence Theorem.R. Michael Canjar - 1989 - Notre Dame Journal of Formal Logic 30 (4):539-542.

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