The Kakeya needle problem for rectifiable sets
The Kakeya needle problem for rectifiable sets
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Marianna Cs枚rnyei , University of Chicago
We show that the classical results about rotating a line segment in arbitrarily small area, and the existence of a Besicovitch and a Nikodym set hold if we replace the line segment by an arbitrary rectifiable set. 听This is a joint work with Alan Chang.听