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On embeddings of finite metric spaces in $l_n^\infty$
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Article
P.L.Chebyschev Laboratory at Saint Petersburg State University
Overview
Cite this
Links
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=6835548
DOI
https://doi.org/10.1112/S002557930900045X
Other version
P.B. Zatitskiy
F.V. Petrov
D.M. Stolyarov
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.
Original language
English
Pages (from-to)
135-139
Journal
Mathematika
Volume
56
Issue number
1
DOIs
https://doi.org/10.1112/S002557930900045X
State
Published -
2010
Research areas
finite metric space, isometric embedding
ID: 5463441