Geodesic
On isometric embeddings of Hilbert's cube into $c$
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 361-364.

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In our note, we prove the result that the Hilbert's cube equipped with \newline $l_p-$metrics, $p\ge 1$, cannot be isometrically embedded into $c$.
Classification : 54E40
Keywords: Lipschitz embeddings; Hilbert's cube 
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     author = {Bobok, Jozef},
     title = {On isometric embeddings of {Hilbert's} cube into $c$},
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Bobok, Jozef. On isometric embeddings of Hilbert's cube into $c$. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 361-364. http://geodesic.mathdoc.fr/item/CMUC_1994__35_2_a16/