Unbounded families and the cofinality of the infinite symmetric group

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Archive for Mathematical Logic 34 (1):33-45 (1995)
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Abstract

In this paper, we study the relationship between the cofinalityc(Sym(ω)) of the infinite symmetric group and the minimal cardinality $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{b} $$ of an unbounded familyF of ω ω

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10.1007/bf01269875

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Citations of this work

Groupwise density and the cofinality of the infinite symmetric group.Simon Thomas - 1998 - Archive for Mathematical Logic 37 (7):483-493.
Some questions concerning the confinality of sym (k).James D. Sharp & Simon Thomas - 1995 - Journal of Symbolic Logic 60 (3):892-897.

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References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Set Theory.T. Jech - 2005 - Bulletin of Symbolic Logic 11 (2):243-245.
[Omnibus Review].Kenneth Kunen - 1969 - Journal of Symbolic Logic 34 (3):515-516.

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