On isometric embeddings of Hilbert’s cube into c

Jozef Bobok

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 361-364
  • ISSN: 0010-2628

Abstract

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In our note, we prove the result that the Hilbert’s cube equipped with l p - metrics, p ≥ 1 , cannot be isometrically embedded into c .

How to cite

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

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