Finite Ramsey theory through category theory

  • Sławomir Solecki

    Cornell University, Ithaca, USA
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Abstract

We present a new, category-theoretic point of view on finite Ramsey theory. Our aims are as follows:

  • to define the category-theoretic notions needed for the development of finite Ramsey
  • to state, in terms of these notions, the general fundamental Ramsey results (of which various concrete Ramsey results are special cases); and
  • to give self-contained proofs within the category-theoretic framework of these general results.

We also provide some concrete illustrations of the general method.

Cite this article

Sławomir Solecki, Finite Ramsey theory through category theory. Enseign. Math. (2024), published online first

DOI 10.4171/LEM/1070