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Uniformization Problems and the Cofinality of the Infinite Symmetric Group
Notre Dame Journal of Formal Logic 35 (3):328-345 (1994)
Abstract
Assuming Martin's Axiom, we compute the value of the cofinality of the symmetric group on the natural numbers. We also show that Martin's Axiom does not decide the value of the covering number of a related Mycielski idealAuthor's Profile
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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.
Unbounded families and the cofinality of the infinite symmetric group.James D. Sharp & Simon Thomas - 1995 - Archive for Mathematical Logic 34 (1):33-45.
The cofinality of the infinite symmetric group and groupwise density.Jörg Brendle & Maria Losada - 2003 - Journal of Symbolic Logic 68 (4):1354-1361.
Cardinal invariants related to permutation groups.Bart Kastermans & Yi Zhang - 2006 - Annals of Pure and Applied Logic 143 (1-3):139-146.
The cofinality spectrum of the infinite symmetric group.Saharon Shelah & Simon Thomas - 1997 - Journal of Symbolic Logic 62 (3):902-916.
References found in this work
On the Consistency of Some Partition Theorems for Continuous Colorings, and the Structure of ℵ 1 -Dense Real Order Types.J. Steprans, Uri Abraham, Matatyahu Rubin & Saharon Shelah - 2002 - Bulletin of Symbolic Logic 8 (2):303.
On the consistency of some partition theorems for continuous colorings, and the structure of ℵ1-dense real order types.Uri Abraham, Matatyahu Rubin & Saharon Shelah - 1985 - Annals of Pure and Applied Logic 29 (2):123-206.
Combinatorial properties of the ideal ℬ2.J. Cichon, A. Roslanowski, J. Steprans & B. Weglorz - 1993 - Journal of Symbolic Logic 58 (1):42-54.
Combinatorial Properties of the Ideal $mathfrak{B}_2$.J. Cichon, A. Roslanowski, J. Steprans & B. Weglorz - 1993 - Journal of Symbolic Logic 58 (1):42-54.
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