Ramsey property and madness

30.09.2025 15:00 - 15:50

Y. Li (U Amsterdam, NL)

We give an expository introduction of Schrittesser and Törnquist's result that under some weak choice principle, all sets having the Ramsey property implies that there is no infinite maximal almost disjoint family (MAD) family. In particular, this gives a proof that there is no MAD family in the Solovay Model. We also discuss how their result localizes in the projective hierarchy.

Organiser:

KGRC

Location:

SR 10, 1. Stock, Koling. 14-16, 1090 Wien