Chris Lambie-Hanson: Jónsson cardinals, partition relations, and stationary reflection

CMU math logic seminar Tuesday 18 Feb

Speaker:   Chris Lambie-Hanson (CMU)

Title: Jónsson cardinals, partition relations, and stationary reflection

Abstract: I will give an introduction to Jónsson cardinals and related square bracket
partition relations. We will prove some of the basic facts about Jónsson cardinals,
focusing in particular on the important open question of whether the successor of a
singular cardinal can be Jónsson. This will involve a discussion of the connections
between Jónsson cardinals and stationary reflection, which will lead into a recent result of Cummings and myself.

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