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math.LO2020
Unbalanced polarized relations
Shimon Garti
We prove the consistency of where is a strong limit singular cardinal of countable cofinality. This result can be forced at limit…
math.LO2020
Stationary and Closed Rainbow subsets
Shimon Garti, Jing Zhang
We study the structured rainbow Ramsey theory at uncountable cardinals. When compared to the usual rainbow Ramsey theory, the variation focuses on finding a rainbow subset that not…
math.LO2020
Double weakness
Shimon Garti, Saharon Shelah
We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal for which the sequence is not eventually constant and the wea…