Combinatorial Aspects of the Splitting Number

Abstract

We define the strong splitting number, prove that it equals s when exists, and put some restrictions on the possibility that s is a singular carcinal.

References in corpus (1)

• Strong polarized relations for the continuum

Cited by in corpus (7)

• Partition Calculus and Cardinal Invariants
• Open and solved problems concerning polarized partition relations
• Amenable colorings
• The Polarised Partition Relation for Order Types
• How you are with $\mathfrak{s}$ and $\mathfrak{r}$?
• Dense free sets
• Bounding, splitting, and almost disjointness