Ramsey's theorem with sums or unions |
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Authors: | Keith R Milliken |
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Institution: | Department of Mathematics, University of California, Los Angeles, California 90024, USA |
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Abstract: | Using Hindman's theorem as a strong pigeonhole principle, we prove strengthened versions of Ramsey's theorem and of various generalizations of Ramsey's theorem due to Nash-Williams, Galvin and Prikry, and Silver. |
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