- 60

- 0

I wonder what applications of Ramsey's famous theorem there exist apart from such cases as:

1) constructions of functions in the domain of natural numbers to check some properties of sequences of real numbers.

2) propositions about points in convex postition (Erdos-Szekeres Problem)

I don't ask for detailed descriptions, although they are also welcome.

You can simply give a short sketch of applications in different fields of maths or give a link.

Thanks in advance!