Additive and Multiplicative Ramsey Theor
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Vitaly Bergelson; Neil Hindman; Imre Leader
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Article
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1999
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Elsevier Science
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English
β 232 KB
Let a finite partition F of the real interval (0, 1) be given. We show that if every member of F is measurable or if every member of F is a Baire set, then one member of F must contain a sequence with all of its finite sums and products (and, in the measurable case, all of its infinite sums as well)