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arxiv: 1808.08162 · v1 · pith:TGSS5IYXnew · submitted 2018-08-16 · 🧮 math.CO

New Classes of Infinite Image Partition Regular Matrices Near Zero

classification 🧮 math.CO
keywords imagenearpartitionregularzeroclassesmatricesfinite
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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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