Plongements lipschitziens dans ℝ n

Patrice Assouad

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 429-448
  • ISSN: 0037-9484

How to cite

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Assouad, Patrice. "Plongements lipschitziens dans ${\mathbb {R}}^n$." Bulletin de la Société Mathématique de France 111 (1983): 429-448. <http://eudml.org/doc/87452>.

@article{Assouad1983,
author = {Assouad, Patrice},
journal = {Bulletin de la Société Mathématique de France},
keywords = {minimize the rank; Lipschitz embedding of a metric space},
language = {fre},
pages = {429-448},
publisher = {Société mathématique de France},
title = {Plongements lipschitziens dans $\{\mathbb \{R\}\}^n$},
url = {http://eudml.org/doc/87452},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Assouad, Patrice
TI - Plongements lipschitziens dans ${\mathbb {R}}^n$
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 429
EP - 448
LA - fre
KW - minimize the rank; Lipschitz embedding of a metric space
UR - http://eudml.org/doc/87452
ER -

References

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  1. [1] ASSOUAD (P.). — Espaces métriques, plongements, facteurs, Thèse (Orsay, 1977). Zbl0396.46035MR58 #30989
  2. [2] BESICOVITCH (A. S.), SCHOENBERG (I.J.). — On Jordan arcs and Lipschitz classes of functions defined on them, Acta Math. 106 (1961), 113-136. Zbl0128.05501MR25 #158
  3. [3] BOULIGAND (G.). — Ensembles impropres et ordre dimensionnel, Bull. Sci. Math. 52 (1928), 320-344 et 361-376. Zbl54.0644.03JFM54.0644.03
  4. [4] BROOKS (R. L.). — On colouring the nodes of a network, Proc. Cambridge Phil. Soc. 37 (1941), 194-197. Zbl0027.26403MR6,281bJFM67.0733.02
  5. [5] GLAESER (G.). — Étude de quelques algèbres tayloriennes, J. Analyse Math. 6 (1958), 1-124. Zbl0091.28103MR21 #107
  6. [6] KAHANE (J. P.). — Hélices et quasi-hélices, Math. Analysis and Appl. (L. Nachbin ed.), 417-433, Academic Press, 1981, New York. Zbl0472.43005MR84i:43005
  7. [7] Von KOCH (H.). — Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes planes, Acta Math. 30 (1906), 145-174. Zbl37.0413.02JFM37.0413.02
  8. [8] ROGERS (C. A.). — Hausdorff measures, Cambridge University Press (1970). Zbl0204.37601MR43 #7576

Citations in EuDML Documents

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  1. Marc Bourdon, [unknown]
  2. Guy David, Marie Snipes, A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension
  3. Michel Talagrand, Approximating a helix in finitely many dimensions
  4. Jouni Luukkainen, Hossein Movahedi-Lankarani, Minimal bi-Lipschitz embedding dimension of ultrametric spaces
  5. Ai Fan, Sur les dimensions de mesures
  6. Hervé Pajot, Plongements bilipschitziens dans les espaces euclidiens, Q -courbure et flot quasi-conforme
  7. Pierre Pansu, Plongements quasiisométriques du groupe de Heisenberg dans L p , d’après Cheeger, Kleiner, Lee, Naor
  8. Edward D. Tymchatyn, Michael M. Zarichnyi, A note on operators extending partial ultrametrics
  9. Assaf Naor, Comparison of Metric Spectral Gaps

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