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New Classes of Infinite Image Partition Regular Matrices Near Zero

Published 16 Aug 2018 in math.CO | (1808.08162v1)

Abstract: Image partition regular matrices near zero generalizes many classical results of Ram- sey Theory. There are several characterizations of finite image partition regular matrices near zero. Contrast to the finite cases there are only few classes of matri- ces that are known to be infinite image partition regular near zero. In this present work we have produced several new examples of such classes.

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