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Ramsey Theory I.B. Leader Michaelmas 2000 1 Monochromatic Systems ...
https://www.dpmms.cam.ac.uk/~par31/notes/ramsey.pdf8 Dec 2005: t1)).We now show that. iBs c. (i) 〈c(i) : i B1 B2 Bs1〉. ... Then E is accepted by {b1, b2, b3,. },contradicting the definition of Mk. -
Hypergraph Regularity and the multidimensional Szemerédi Theorem. W. …
https://www.dpmms.cam.ac.uk/~wtg10/hypersimple4.pdf12 Apr 2005: AJ2J3. uAx,x′(φ′))2k1. 6ω′′. C′K′. (Hx,x′)C′(ω′). B′B1. (fx,x′)B′(ω′). And now, putting together all the inequalities we have shown so far, we ... φΦ. F(φ))2k6 M2. k1|X1|2. k2x,x′. ω′′. C′K1. (Hx,x′)C′(ω′).
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