Existence of monochromatic simplices of given volume in a colored rational lattice (Q2049318)
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scientific article; zbMATH DE number 7384994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of monochromatic simplices of given volume in a colored rational lattice |
scientific article; zbMATH DE number 7384994 |
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Existence of monochromatic simplices of given volume in a colored rational lattice (English)
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25 August 2021
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Among other results, in this communication it is shown that for any finite coloring of \(\mathbb{Q}^{n}\), there exist infinitely many monochromatic standard simplices of the same color with given positive rational volume.
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Ramsey theory
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hyperbolic rotation
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combinatorial geometry
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van der Waerden's theorem
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transformation group
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