Converse Dual Cardinals

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Journal of Symbolic Logic 71 (1):22 - 34 (2006)
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Abstract

We investigate the set (ω) of partitions of the natural numbers ordered by ≤* where A ≤* B if by gluing finitely many blocks of A we can get a partition coarser than B. In particular, we determine the values of a number of cardinals which are naturally associated with the structure ((ω),≥*), in terms of classical cardinal invariants of the continuum

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10.2178/jsl/1140641161

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Citations of this work

Van Douwen’s diagram for dense sets of rationals.Jörg Brendle - 2006 - Annals of Pure and Applied Logic 143 (1-3):54-69.

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References found in this work

Partition numbers.Otmar Spinas - 1997 - Annals of Pure and Applied Logic 90 (1-3):243-262.
On Shattering, Splitting and Reaping Partitions.Lorenz Halbeisen - 1998 - Mathematical Logic Quarterly 44 (1):123-134.
Martin's Axiom and the Dual Distributivity Number.Jörg Brendle - 2000 - Mathematical Logic Quarterly 46 (2):241-248.

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