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Results tagged with ramsey-theory
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user 13235
Branch of combinatorics with the philosophy that 'total disorder is impossible'. For example, Ramsey's theorem asserts that for each $n$, every sufficiently large graph either contains a clique of size $n$ or a stable set of size $n$.
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Applications of infinite Ramsey's Theorem (on N)?
There are, in fact, very deep uses of Ramsey-theoretic methods in analysis. As I recall, Gowers won a Fields medal for using this connection to answer most of the open conjectures about Banach space …
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