The Kakeya needle problem for rectifiable sets

The Kakeya needle problem for rectifiable sets

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Marianna Csörnyei , University of Chicago
Fine Hall 314

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.  This is a joint work with Alan Chang.