Geodesic
Minimal Widths of Metric Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 4, pp. 38-49 
R. S. Ismagilov. Minimal Widths of Metric Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 4, pp. 38-49. http://geodesic.mathdoc.fr/item/FAA_1999_33_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The minimal width of an arbitrary metric space is defined as the greatest lower bound of its Kolmogorov widths under all isometric embeddings in all possible Banach spaces and is computed or estimated in a number of examples.

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[4] Ismagilov R. S., “Poperechniki mnozhestv v lineinykh normirovannykh prostranstvakh i priblizhenie funktsii trigonometricheskimi mnogochlenami”, UMN, 29:3 (1974), 161–178 | MR | Zbl

[5] Pich A., Yadernye lokalno-vypuklye prostranstva, Mir, M., 1967 | MR