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Diamond on Kurepa trees

Prelegent(ci)
Ziemowit Kostana
Afiliacja
Wrocław University of Science and Technology
Język referatu
angielski
Termin
11 czerwca 2025 16:15
Pokój
p. 5050
Seminarium
Seminarium „Topologia i teoria mnogości”

We investigate a weak variant of Jensen's Diamond, which is expected to guess only cofinal branches of a specific Kurepa tree. We prove that in many scenarios such principle holds. Nevertheless, it is consistent that there exists a Kurepa tree without a corresponding diamond sequence. This is joint work with Assaf Rinot and Saharon Shelah.