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Some Remarks on Translative Coverings of Convex Domains by Strips

Published online by Cambridge University Press:  20 November 2018

H. Groemer
H. Groemer*
Affiliation:
Department of Mathematics, The University of ArizonaTucson, AZ 85721, U.S.A.
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Abstract

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In the euclidean plane let K be a compact convex set and Sl, S2,… strips of respective widths wl, w2,… Some conditions on Σ wi are given that imply that K can be covered by translates of the strips Si. These conditions involve the perimeter, the diameter, or the minimal width of K and yield improvements of previously known results.

Keywords

52A45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 2 , 01 June 1984 , pp. 233 - 237
Copyright
Copyright © Canadian Mathematical Society 1984

References

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5. Makai, E. Jr, and Pach, J., Controlling function classes and covering of Euclidean space. To appear.Google Scholar