Open and solved problems concerning polarized partition relations

• Autorzy: Shimon Garti , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation $\binom {ℵ_{α+1}}{ℵ_{α}} → \binom {ℵ_{α+1}}{ℵ_{α}}^{1,1}_{2}$ holds in $V^{ℙ}$.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 234
• Numer: 1
• Strony: 1-14

Daty

wydano

2016

Twórcy

autor

Shimon Garti

• Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
• Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.

Identyfikatory

DOI

10.4064/fm763-10-2015