Geodesic
Best Possible Nets in a Normed Linear Space1
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 45-48

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we examine the question of the existence of a best possible N-net for a bounded set in a normed linear space. A sufficient condition for existence is given which leads to easy proofs of some of the standard results. The pertinent reference here is the paper by Garkavi [1].Let E be a normed linear space and let M be a bounded set in E. Any system of N points in E will be called an N-net. For a given M and the net SN = {y1, y2,..., yN} define and 
Keener, L. L. Best Possible Nets in a Normed Linear Space1. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 45-48. doi: 10.4153/CMB-1975-009-6
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[1] 1. Garkavi, A. L., The best possible net and the best possible cross-section of a set in a normed space. Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 87–106; Amer. Math. Soc. Transi., Ser. 2, 39(1964), 111-132. Google Scholar

[2] 2. Kelley, J. L., General Topology, D. Van Nostrand Company, Inc., Princeton, New Jersey (1955). Google Scholar

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