Exponentially Ramsey Sets


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Abstract

We study chromatic numbers of spaces \(\mathbb{R}_p^n=(\mathbb{R}^n, \ell_p)\) with forbidden monochromatic sets. For some sets, we for the first time obtain explicit exponentially growing lower bounds for the corresponding chromatic numbers; for some others, we substantially improve previously known bounds.

About the authors

A. A. Sagdeev

Laboratory of Advanced Combinatorics and Network Applications

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Email: xp1@protonmail.com
Russian Federation, Moscow

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