The Kakeya needle problem for rectifiable sets

The Kakeya needle problem for rectifiable sets

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Alan Chang, Princeton

Zoom link: https://princeton.zoom.us/j/92147928280

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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.