Mathematics Department Seminar - Jonathan Lubin

  • 10/23/2012 | 4:15 PM – 5:15 PM
  • Location: Searles Science Building, Room 217
  • Event Type: Seminar

"The Cantor Set: Source of Surprises, Unlikely Constructions and Counterexamples". ABSTRACT: The Cantor Set is a subset of the unit interval of the real line that gives us many counterexamples to plausible propositions, and examples of interesting phenomena. One surprising use of this set is to define a space-filling curve, that is a continuous map of the unit interval onto the unit square, or indeed onto any convex compact subset of n-dimensional space.