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math.CO1995★ 5 cited
Finite canonization
Saharon Shelah
The canonization theorem says that for given m,n for some m^* (the first one is called ER(n;m)) we have: for every function f with domain [{1, ...,m^*}]^n, for some A in [{1, ...,m…
math.CO1995★ 3 cited
A finite partition theorem with double exponential bounds
Saharon Shelah
We prove that double exponentiation is an upper bound to Ramsey theorem for colouring of pairs when we want to predetermine the order of the differences of successive members of th…