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

Speaker:  Chris Lambie-Hanson

Title: Jónsson cardinals, partition relations, and stationary reflection, Part III

Abstract: I will present a proof that, relative to large cardinal assumptions, it is consistent that there is a singular cardinal
mu such that every stationary subset of mu^+ reflects but that there is a stationary subset of mu^+ that does not reflect at
ordinals of arbitrarily high cofinality. This answers a question of Eisworth motivated by the study of Jónsson cardinals and
square-bracket partition relations and is joint work with James Cummings.