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Two extensions of Ramsey’s theorem

✍ Scribed by Conlon, David; Fox, Jacob; Sudakov, Benny


Book ID
121490605
Publisher
Duke University Press
Year
2013
Tongue
English
Weight
263 KB
Volume
162
Category
Article
ISSN
0012-7094

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Two remarks on Ramsey's theorem
✍ Jaroslav Nes̆etr̆il; Vojtĕch Rödl 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 131 KB

We present a very simple proof of the fact (due to P. Erd~s and R. Rado) that Ram~ey's theorem doesn't hold for partitions of infinite subsets. We also present a proof of an induced Ramsey theorem for partitions of complete subgraphs (due to W. Deuber and authors) based on the theorem of R. Graham a