The Kakeya needle problem for rectifiable sets

Monday, February 5, 2018 - 15:00
Thackeray 427
Speaker Information
Alan Chang
University of Chicago

Abstract or Additional Information

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 joint work with Marianna Csörnyei.

Research Area