James Cummings: Ramsey theory and topology

CMU math logic seminar 12:30 Tuesday 2 September

Seminar will meet at the new time (12:30) in the new room (Wean Hall 8220)

Speaker : James Cummings  (CMU)

Title: “Ramsey theory and topology”

The simplest form of the infinite Ramsey theorem states that any
colouring of pairs of integers in two colours has an infinite
monochromatic set. We discuss generalisations to colourings of
the set of finite subsets of the integers (Hindman’s theorem) and
also to colourings of the set of infinite subsets of the integers
(the Galvin-Prikry theorem). Topological ideas are central to the
proofs of these general Ramsey-type theorems.

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