The relative consistency of {$\germ g<{\rm cf})$}

Journal of Symbolic Logic 67 (1):297-314 (2002)
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Abstract

We prove the consistency result from the title. By forcing we construct a model of g = ℵ l , b = cf(Sym(ω)) = ℵ 2

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Citations of this work

Groupwise density cannot be much bigger than the unbounded number.Saharon Shelah - 2008 - Mathematical Logic Quarterly 54 (4):340-344.

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References found in this work

Happy families.A. R. D. Mathias - 1977 - Annals of Mathematical Logic 12 (1):59.
Constructibility.Keith J. Devlin - 1987 - Journal of Symbolic Logic 52 (3):864-867.
Groupwise density and the cofinality of the infinite symmetric group.Simon Thomas - 1998 - Archive for Mathematical Logic 37 (7):483-493.
Proper and Improper Forcing.Péter Komjáath - 2000 - Studia Logica 64 (3):421-425.

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