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Article

Bobok, Jozef
On isometric embeddings of Hilbert's cube into $c$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 361-364
MSC: 54E40 | MR 1286583 | Zbl 0855.54040
Keywords:
Lipschitz embeddings; Hilbert's cube
Summary:
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 $c$.
References:
[1] Aharoni I.: Every separable metric space is Lipschitz equivalent to a subset $c_0$. Israel. J. Math. 19 (1974), 284-291. MR 0511661
[2] Assouad P.: Remarques sur un article de Israel Aharoni sur les prolongements Lipschitziens dans $c_0$. Israel. J. Math. 31 (1978), 97-100. MR 0511662 | Zbl 0387.54003
[3] Pelant J.: Embeddings into $c_{0}^{+}$. preprint. MR 1278027
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