| Title:
|
On isometric embeddings of Hilbert's cube into $c$ (English) |
| Author:
|
Bobok, Jozef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
361-364 |
| . |
| Category:
|
math |
| . |
| 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 $c$. (English) |
| Keyword:
|
Lipschitz embeddings |
| Keyword:
|
Hilbert's cube |
| MSC:
|
54E40 |
| idZBL:
|
Zbl 0855.54040 |
| idMR:
|
MR1286583 |
| . |
| Date available:
|
2009-01-08T18:11:39Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118675 |
| . |
| Reference:
|
[1] Aharoni I.: Every separable metric space is Lipschitz equivalent to a subset $c_0$.Israel. J. Math. 19 (1974), 284-291. MR 0511661 |
| Reference:
|
[2] Assouad P.: Remarques sur un article de Israel Aharoni sur les prolongements Lipschitziens dans $c_0$.Israel. J. Math. 31 (1978), 97-100. Zbl 0387.54003, MR 0511662 |
| Reference:
|
[3] Pelant J.: Embeddings into $c_{0}^{+}$.preprint. MR 1278027 |
| . |
