On lipschitz embedding of finite metric spaces in low dimensional normed spaces

Geometrical Aspects of Functional Analysis - Lecture Notes in Mathematics ◽

10.1007/bfb0078145 ◽

1987 ◽

pp. 177-184 ◽

Cited By ~ 9

Author(s):

William B. Johnson ◽

Joram Lindenstrauss ◽

Gideon Schechtman

Keyword(s):

Metric Spaces ◽

Normed Spaces ◽

Lipschitz Embedding ◽

Low Dimensional ◽

Finite Metric Spaces

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On lipschitz embedding of finite metric spaces in Hilbert space

Israel Journal of Mathematics ◽

10.1007/bf02776078 ◽

1985 ◽

Vol 52 (1-2) ◽

pp. 46-52 ◽

Cited By ~ 266

Author(s):

J. Bourgain

Keyword(s):

Hilbert Space ◽

Metric Spaces ◽

Lipschitz Embedding ◽

Finite Metric Spaces

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Embedding Finite Metric Spaces into Normed Spaces

Graduate Texts in Mathematics - Lectures on Discrete Geometry ◽

10.1007/978-1-4613-0039-7_15 ◽

2002 ◽

pp. 355-400 ◽

Cited By ~ 3

Author(s):

Jiří Matoušek

Keyword(s):

Metric Spaces ◽

Normed Spaces ◽

Finite Metric Spaces

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On the distortion required for embedding finite metric spaces into normed spaces

Israel Journal of Mathematics ◽

10.1007/bf02761110 ◽

1996 ◽

Vol 93 (1) ◽

pp. 333-344 ◽

Cited By ~ 42

Author(s):

Jiří Matoušek

Keyword(s):

Metric Spaces ◽

Normed Spaces ◽

Finite Metric Spaces

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Main metric invariants of finite metric spaces. II

Russian Mathematics ◽

10.3103/s1066369x16060098 ◽

2016 ◽

Vol 60 (6) ◽

pp. 75-78 ◽

Cited By ~ 4

Author(s):

E. N. Sosov

Keyword(s):

Metric Spaces ◽

Metric Invariants ◽

Finite Metric Spaces

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Fuzzy Normed Spaces and Fuzzy Metric Spaces

Fuzzy Operator Theory in Mathematical Analysis ◽

10.1007/978-3-319-93501-0_2 ◽

2018 ◽

pp. 11-43

Author(s):

Yeol Je Cho ◽

Themistocles M. Rassias ◽

Reza Saadati

Keyword(s):

Metric Spaces ◽

Normed Spaces ◽

Fuzzy Metric Spaces ◽

Fuzzy Metric

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Embeddings of locally finite metric spaces into Banach spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-07-09109-5 ◽

2007 ◽

Vol 136 (03) ◽

pp. 1029-1034 ◽

Cited By ~ 7

Author(s):

F. Baudier ◽

G. Lancien

Keyword(s):

Banach Spaces ◽

Metric Spaces ◽

Locally Finite ◽

Finite Metric Spaces

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Low-Distortion Embeddings of Finite Metric Spaces

Handbook of Discrete and Computational Geometry, Second Edition - Discrete Mathematics and Its Applications ◽

10.1201/9781420035315.ch8 ◽

2004 ◽

Cited By ~ 27

Author(s):

Piotr Indyk ◽

Ji_í Matou_ek

Keyword(s):

Metric Spaces ◽

Low Distortion ◽

Finite Metric Spaces

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A note on the completions of fuzzy metric spaces and fuzzy normed spaces

Fuzzy Sets and Systems ◽

10.1016/s0165-0114(02)00054-4 ◽

2002 ◽

Vol 131 (3) ◽

pp. 399-407 ◽

Cited By ~ 12

Author(s):

Jin-xuan Fang

Keyword(s):

Metric Spaces ◽

Normed Spaces ◽

Fuzzy Metric Spaces ◽

Fuzzy Metric

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An Algorithm for Computing Virtual Cut Points in Finite Metric Spaces

Combinatorial Optimization and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-540-73556-4_3 ◽

2007 ◽

pp. 4-10 ◽

Cited By ~ 1

Author(s):

Andreas W. M. Dress ◽

Katharina T. Huber ◽

Jacobus Koolen ◽

Vincent Moulton

Keyword(s):

Metric Spaces ◽

Cut Points ◽

Finite Metric Spaces

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Low-Distortion Embeddings of Finite Metric Spaces

Handbook of Discrete and Computational Geometry, Second Edition ◽

10.1201/9781420035315-8 ◽

2004 ◽

pp. 190-209

Keyword(s):

Metric Spaces ◽

Low Distortion ◽

Finite Metric Spaces

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