Open and solved problems concerning polarized partition relations

Abstract

We list some open problems, concerning the polarized partition relation. We solve a couple of them by showing that for every singular cardinal $\mu$ one can force the strong polarized relation with respect to the pair ${\mu }^{+},\mu$.

17 pages

References in corpus (2)

• A strong polarized relation
• Combinatorial Aspects of the Splitting Number

Cited by in corpus (7)

• Tiltan
• Polarized relations at singulars over successors
• Amenable colorings
• Cardinal characteristics of the continuum and partitions
• How you are with $\mathfrak{s}$ and $\mathfrak{r}$?
• On configurations concerning cardinal characteristics at regular cardinals
• An almost strong relation