Geodesic
Uniform Embeddings into Hilbert Space and a Question of Gromov
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 60-70

Voir la notice de l'article provenant de la source Cambridge

DOI

Gromov introduced the concept of uniform embedding into Hilbert space and asked if every separable metric space admits a uniform embedding into Hilbert space. In this paper, we study uniform embedding into Hilbert space and answer Gromov’s question negatively.
DOI : 10.4153/CMB-2002-006-9
Mots-clés : 46C05 
Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G. Uniform Embeddings into Hilbert Space and a Question of Gromov. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 60-70. doi: 10.4153/CMB-2002-006-9
@article{10_4153_CMB_2002_006_9,
     author = {Dranishnikov, A. N. and Gong, G. and Lafforgue, V. and Yu, G.},
     title = {Uniform {Embeddings} into {Hilbert} {Space} and a {Question} of {Gromov}},
     journal = {Canadian mathematical bulletin},
     pages = {60--70},
     year = {2002},
     volume = {45},
     number = {1},
     doi = {10.4153/CMB-2002-006-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-006-9/}
}
TY  - JOUR
AU  - Dranishnikov, A. N.
AU  - Gong, G.
AU  - Lafforgue, V.
AU  - Yu, G.
TI  - Uniform Embeddings into Hilbert Space and a Question of Gromov
JO  - Canadian mathematical bulletin
PY  - 2002
SP  - 60
EP  - 70
VL  - 45
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-006-9/
DO  - 10.4153/CMB-2002-006-9
ID  - 10_4153_CMB_2002_006_9
ER  - 
%0 Journal Article
%A Dranishnikov, A. N.
%A Gong, G.
%A Lafforgue, V.
%A Yu, G.
%T Uniform Embeddings into Hilbert Space and a Question of Gromov
%J Canadian mathematical bulletin
%D 2002
%P 60-70
%V 45
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-006-9/
%R 10.4153/CMB-2002-006-9
%F 10_4153_CMB_2002_006_9

Cité par Sources :