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On embeddings of finite metric spaces in $l_n^\infty$. / Zatitskiy, P.B.; Petrov, F.V.; Stolyarov, D.M.

In: Mathematika, Vol. 56, No. 1, 2010, p. 135-139.

Research output: Contribution to journal › Article

Harvard

Zatitskiy, PB, Petrov, FV & Stolyarov, DM 2010, 'On embeddings of finite metric spaces in $l_n^\infty$', Mathematika, vol. 56, no. 1, pp. 135-139. https://doi.org/10.1112/S002557930900045X

APA

Zatitskiy, P. B., Petrov, F. V., & Stolyarov, D. M. (2010). On embeddings of finite metric spaces in $l_n^\infty$. Mathematika, 56(1), 135-139. https://doi.org/10.1112/S002557930900045X

Vancouver

Zatitskiy PB, Petrov FV, Stolyarov DM. On embeddings of finite metric spaces in $l_n^\infty$. Mathematika. 2010;56(1):135-139. https://doi.org/10.1112/S002557930900045X

Author

Zatitskiy, P.B. ; Petrov, F.V. ; Stolyarov, D.M. / On embeddings of finite metric spaces in $l_n^\infty$. In: Mathematika. 2010 ; Vol. 56, No. 1. pp. 135-139.

BibTeX

@article{6aa67930c71a4caa87b86eff2dfc54ce,
title = "On embeddings of finite metric spaces in $l_n^\infty$",
abstract = "We prove that for any given integer $c?0$ any metric space on $n$ points may be isometrically embedded into $l_{n-c}^{\infty}$ provided $n$ is large enough.",
keywords = "finite metric space, isometric embedding",
author = "P.B. Zatitskiy and F.V. Petrov and D.M. Stolyarov",
year = "2010",
doi = "10.1112/S002557930900045X",
language = "English",
volume = "56",
pages = "135--139",
journal = "Mathematika",
issn = "0025-5793",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - On embeddings of finite metric spaces in $l_n^\infty$

AU - Zatitskiy, P.B.

AU - Petrov, F.V.

AU - Stolyarov, D.M.

PY - 2010

Y1 - 2010

N2 - We prove that for any given integer $c?0$ any metric space on $n$ points may be isometrically embedded into $l_{n-c}^{\infty}$ provided $n$ is large enough.

AB - We prove that for any given integer $c?0$ any metric space on $n$ points may be isometrically embedded into $l_{n-c}^{\infty}$ provided $n$ is large enough.

KW - finite metric space

KW - isometric embedding

U2 - 10.1112/S002557930900045X

DO - 10.1112/S002557930900045X

M3 - Article

VL - 56

SP - 135

EP - 139

JO - Mathematika

JF - Mathematika

SN - 0025-5793

IS - 1

ER -

ID: 5463441