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math.LO2025
Magidor-like forcing and the cofinality of the Galvin number
Shimon Garti
We force over a model of AD to obtain the consistency of the Galvin number having countable cofinality.
math.LO2025
Jonsson and Magidor filters
Omer Ben-Neria, Shimon Garti
We study the filter versions of square bracket partition relations, focusing on Jonssonicity and Magidority. We show that the singular cardinals in a Kleinberg sequence above some…
math.LO2025
On a problem of Erdos and Hajnal
Shimon Garti, Yair Hayut, Saharon Shelah
We address a question of Erdős and Hajnal about the ordinary partition relation . For , assuming $2^λ=λ…