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Bagaria, J., and L opez-Abad, J. Weakly Ramsey sets in Banach spaces. Adv. Math. 160, 2 (2001), 133-174.

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Ramsey Theory Applications - Rosta (2004)   (Correct)

....[241] Gowers [128] uses some infinite Ramsey theorem to show that a separable Hilbert space is the only infinite dimensional Banach space, up to isomorphism, which is isomorphic to all its infinite dimensional subspaces, solving a problem of Banach from his famous 1932 book. Bagaria and Abad [26] obtained the same result. In the geometry of Banach Spaces there are several well known Ramsey type statements, see Milman s monograph [182, 183] The most influential one is Dvoretzky s Ramsey type theorem [81, 82] every n dimensional symmetric convex body has a k dimensional central ....

J. Bagaria and J. Lopez Abad, Weakly Ramsey sets in Banach spaces (1999), submitted.


Ramsey Theory Applications - Vera Rosta Dept   (Correct)

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Bagaria, J., and L opez-Abad, J. Weakly Ramsey sets in Banach spaces. Adv. Math. 160, 2 (2001), 133-174.

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