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On the Relative Widths of Coverings by Convex Bodies
Published online by Cambridge University Press: 15 March 2019
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The purpose of this note is to give an elementary proof of a special case of a theorem suggested by Th. Bang (2; 3) and proved by Lee et al (5; see also 1; 4; 6; 7; 8).
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- Copyright © Canadian Mathematical Society 1958
References
2.
Bang, Th., A solution of the plank problem, Proc. Amer. Math. Soc., 2 (1951), 990-993; M. R. 13, 769.Google Scholar
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Bang, Th., Some remarks on the Union of Convex bodies, Tolfte Skand. Kong., (1954), 5-11; M. R. 16, 395.Google Scholar
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Fenchol, W., On Th. Bang’s solution of the plank problem
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Lee, Tzer-Yee et al, A solution of Bang’s “plank problem”
J. Chinese Math. Soc., 2 (1953), 139-143; M. R. 17, 185.Google Scholar
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Ohmann, D., Eine Abschatzung fur die Dicke bei Uberdeckung durch konvexe Korper
J. Reine angew. Math.. 190 (1952), 195-128; M.R. 14, 788.Google Scholar
7.
Ohmann, D., Kurzer Beweis einer Abschatzung fur die Breite bei Uberdeckung durch konvexe Korper
Arch. Math.. 8 (1957), 150-152.Google Scholar
8.
Straszewics, S., Un thorme sur la largeur des ensembles convexes, Ann. Soc. Polon. Math.. 21 (1948), 90-93; M.R. 10, 205.Google Scholar
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