Videos

The Kakeya needle problem for rectifiable sets

Presenter
January 26, 2017
Keywords:
  • kakeya needle problem
  • Besicovitch set
  • Nikodym set
  • rectifiable sets
  • harmonic analysis
MSC:
  • 46e35
  • 42b35
  • 28a75
  • 42-xx
  • 28-xx
Abstract
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