Geodesic
On sets admitting chebyshev vector systems
Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 199-207.

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We study the topological properties of compacta on which exist vector (with values in space $R^s$) systems of Chebyshev functions or systems having a given Chebyshev rank. The lengths of the systems are assumed to be multiples of but not equal to the number $s$. A compactum on which a Chebyshev system exists is embedded into space $R^s$. On polytopes of dimension $s+1$ the Chebyshev ranks of vector systems grow to infinity together with their length. 
@article{MZM_1977_21_2_a7,
     author = {Yu. A. Shashkin},
     title = {On sets admitting chebyshev vector systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {199--207},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a7/}
}
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Yu. A. Shashkin. On sets admitting chebyshev vector systems. Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 199-207. http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a7/