On isometric embeddings of Hilbert’s cube into $c$

Bobok, Jozef. "On isometric embeddings of Hilbert’s cube into $c$." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 361-364. <http://eudml.org/doc/247611>.

@article{Bobok1994,
abstract = {In our note, we prove the result that the Hilbert’s cube equipped with $l_p-$metrics, $p\ge 1$, cannot be isometrically embedded into $c$.},
author = {Bobok, Jozef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lipschitz embeddings; Hilbert's cube; Lipschitz embeddings; Hilbert cube},
language = {eng},
number = {2},
pages = {361-364},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On isometric embeddings of Hilbert’s cube into $c$},
url = {http://eudml.org/doc/247611},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Bobok, Jozef
TI - On isometric embeddings of Hilbert’s cube into $c$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 361
EP - 364
AB - In our note, we prove the result that the Hilbert’s cube equipped with $l_p-$metrics, $p\ge 1$, cannot be isometrically embedded into $c$.
LA - eng
KW - Lipschitz embeddings; Hilbert's cube; Lipschitz embeddings; Hilbert cube
UR - http://eudml.org/doc/247611
ER -

References

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Aharoni I., Every separable metric space is Lipschitz equivalent to a subset $c_{0}$ , Israel. J. Math. 19 (1974), 284-291. (1974) MR0511661
Assouad P., Remarques sur un article de Israel Aharoni sur les prolongements Lipschitziens dans $c_{0}$ , Israel. J. Math. 31 (1978), 97-100. (1978) Zbl0387.54003 MR0511662
Pelant J., Embeddings into $c_{0}^{+}$ , preprint. MR1278027

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