The weak Ramsey property

We show how to extend the Kechris-Pestov-Todorcevic correspondence to categories with weak amalgamations, where extreme amenability is tested for the automorphism group of the generic limit, taken with a suitable topology. We characterize extreme amenability in terms of a Ramsey-like property of the base category, which we call the weak Ramsey property. We use only very basic tools and notions of category theory, perhaps the most involved one is that of a sequence colimit.

Joint work with A. Bartoš, T. Bice, and K. Dasilva Barbosa.

The details of the Zoom meeting will be sent separately.