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Unbounded families and the cofinality of the infinite symmetric group

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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 ofω ω.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    James D. Sharp & Simon Thomas

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  1. James D. Sharp
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  2. Simon Thomas
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Research partially supported by NSF Grants

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Sharp, J.D., Thomas, S. Unbounded families and the cofinality of the infinite symmetric group. Arch Math Logic 34, 33–45 (1995). https://doi.org/10.1007/BF01269875

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  • DOI: https://doi.org/10.1007/BF01269875

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