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- W2111427182 abstract "Given a convex body $$K$$K, consider the smallest number $$N$$N so that there is a point $$Pin partial K$$PźźK such that every circle centred at $$P$$P intersects $$partial K$$źK in at most $$N$$N points. In 1946 Erdźs conjectured that $$N=2$$N=2 for all $$K$$K, but there are convex bodies for which this is not the case. As far as we know there is no known global upper bound. We show that no convex body has $$N=infty $$N=ź and that there are convex bodies for which $$N = 6$$N=6." @default.
- W2111427182 created "2016-06-24" @default.
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- W2111427182 date "2013-05-08" @default.
- W2111427182 modified "2023-10-06" @default.
- W2111427182 title "A Question from a Famous Paper of Erdős" @default.
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- W2111427182 doi "https://doi.org/10.1007/s00454-013-9507-z" @default.
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