On coverings of plane convex sets by translates of strips |
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| Authors: | H Groemer |
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| Institution: | (1) Dept. of Mathematics, University of Arizona, 85721 Tucson, AZ, USA |
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| Abstract: | In the euclidean planeE
2 letS
1,S
2, ... be a sequence of strips of widthsw
1,w
2, .... It is shown thatE
2 can be covered by translates of the stripsS
i if  w
1
3/2
=  . Further results concern conditions in order that a compact convex domain inE
2 can be covered by translates ofS
1,S
2, ....This research was supported by National Science Foundation Research Grant MCS 76-06111. |
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| Keywords: | Primary 52A45 Secondary 52A10 |
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