Diamond on Kurepa trees

Speaker(s)

Ziemowit Kostana

Affiliation

Wrocław University of Science and Technology

Language of the talk

English

Date

June 11, 2025, 4:15 p.m.

Room

room 5050

Seminar

Topology and Set Theory Seminar

---

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.

---