A Short Proof of the Nash-Williams' Partition Theorem

Notations. – the set of natural numbers; – the family of all subsets of of size ; – the family of all finite subsets of ; – the family of all infinite subsets of ; The infinite Ramsey theorem, in its simplest form, states that for every partition , there exists an infinite set such… Continue reading A Short Proof of the Nash-Williams' Partition Theorem