The Kakeya Problem for Circular Arcs
We prove that if a circular arc has angle short enough, then it can be continuously moved to any prescribed position within a set of arbitrarily small area.
Key words and phrasesKakeya problem for circular arcs
Mathematics Subject Classification28A75
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- 4.M. Csörnyei, K. Héra and M. Laczkovich, Closed sets with the Kakeya property, to appear in Mathematika.Google Scholar
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