The weak Ramsey property

Speaker(s)

Wiesław Kubiś

Affiliation

Cardinal Stefan Wyszyński University in Warsaw and Institute of Mathematics of the Czech Academy of Sciences

Date

Dec. 16, 2020, 4:15 p.m.

Information about the event

Zoom

Seminar

Topology and Set Theory Seminar

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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.

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• slides