Image partition regularity near zero |
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| Authors: | Dibyendu De |
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| Institution: | a School of Mathematics, University of Witwatersrand, Private Bag 3, Wits 2050, South Africa
b Department of Mathematics, Howard University, Washington, DC 20059, USA |
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| Abstract: | Many of the classical results of Ramsey Theory are naturally stated in terms of image partition regularity of matrices. Many characterizations are known of image partition regularity over N and other subsemigroups of (R,+). We study several notions of image partition regularity near zero for both finite and infinite matrices, and establish relationships which must hold among these notions. |
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| Keywords: | Ramsey Theory Image partition regular matrix Central Sets Theorem |
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