Geodesic
On the chromatic numbers corresponding to exponentially Ramsey sets
Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part X, Tome 475 (2018), pp. 174-189

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In this paper, nontrivial upper bounds on the chromatic numbers of the spaces $\mathbb{R}^n_p=(\mathbb{R}^n, l_p)$ with forbidden monochromatic sets are proved. In the case of forbidden rectangular parallelepiped or a regular simplex, explicit exponential lower bounds on the chromatic numbers are obtained. Exact values of the chromatic numbers of the spaces $\mathbb{R}^n_p$ with forbidden regular simplex in case $p = \infty$ are found. 
@article{ZNSL_2018_475_a7,
     author = {A. A. Sagdeev},
     title = {On the chromatic numbers corresponding to exponentially {Ramsey} sets},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {174--189},
     publisher = {mathdoc},
     volume = {475},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_475_a7/}
}
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A. A. Sagdeev. On the chromatic numbers corresponding to exponentially Ramsey sets. Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part X, Tome 475 (2018), pp. 174-189. http://geodesic.mathdoc.fr/item/ZNSL_2018_475_a7/