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On the Relative Widths of Coverings by Convex Bodies

Published online by Cambridge University Press:  15 March 2019

W.O.J. Moser
W.O.J. Moser*
Affiliation:
University of Saskatchewan and Research Institute C.M.C.
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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).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 1 , Issue 3 , 01 September 1958 , pp. 154
Copyright
Copyright © Canadian Mathematical Society 1958

References

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3. Bang, Th., Some remarks on the Union of Convex bodies, Tolfte Skand. Kong., (1954), 5-11; M. R. 16, 395.Google Scholar
4. Fenchol, W., On Th. Bang’s solution of the plank problem Math. Tidskr B., (1951), 49-51; M.R. 13, 863.Google Scholar
5. 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
6. 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
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