Geodesic
$k$-Regular maps into Euclidean spaces and the Borsuk–Boltyanskii problem
Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 73-82 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Borsuk–Boltyanskii problem is solved for odd $k$, that is, the minimum dimension of a Euclidean space is determined into which any $n$-dimensional polyhedron (compactum) can be $k$-regularly embedded. A new lower bound is obtained for even $k$. 
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     author = {S. A. Bogatyi},
     title = {$k${-Regular} maps into {Euclidean} spaces and {the~Borsuk{\textendash}Boltyanskii} problem},
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     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_1_a1/}
}
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S. A. Bogatyi. $k$-Regular maps into Euclidean spaces and the Borsuk–Boltyanskii problem. Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 73-82. http://geodesic.mathdoc.fr/item/SM_2002_193_1_a1/

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