Heike Mildenberger, Universität Wien
A cardinal characteristic is a cardinal number that describes a combinatorial or analytical property of the continuum. Like the power of the continuum itself, the size of a cardinal characteristic is often independent from ZFC. However, some restrictions on possible sizes follow from ZFC. In the talk, I shall show some of these restrictions for some well-known cardinal characteristics: is the least size of an unbounded set in the order of eventual dominance on the set of functions from to , and is the groupwise density number, whose definition we shall recall in our talk.
|||Andreas Blass: Groupwise density and related cardinals. Arch. Math. Logic 30 (1990), 1-11.|
|||Andreas Blass and Heike Mildenberger: On the cofinality of ultrapowers, Journal of Symbolic Logic 64 (1999), 727-736|
|||Heike Mildenberger: Groupwise dense families. Archive for Math. Logic 40 (2000), 93 -112.|