A Ramsey theorem for the reals

Speaker(s)

Tanmay Inamdar

Language of the talk

Polish

Date

June 10, 2026, 4:15 p.m.

Room

room 4050

Seminar

Topology and Set Theory Seminar

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The infinite Ramsey theorem states that for any colouring of pairs of natural numbers (or triples, quadruples etc.) into finitely-many colours, there is an infinite set which is monochromatic. Sierpinski proved that there is no straightforward analogue of it for the reals. In my talk I will discuss the proof of a conjecture of Galvin from 1970 which yields the optimal ZFC-provable Ramsey theorem for the reals.
The related preprint is available at: https://arxiv.org/pdf/2405.18431

 

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