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.
"Converse dual cardinals." J. Symbolic Logic 71 (1) 22 - 34, March 2006. https://doi.org/10.2178/jsl/1140641161