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arxiv: 1802.00290 · v1 · pith:24GVFPQ2new · submitted 2018-02-01 · 🧮 math.MG · math.CA

The Kakeya problem for circular arcs

classification 🧮 math.MG math.CA
keywords circularanglearbitrarilyarcsareacontinuouslyenoughkakeya
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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.

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