Department of Mathematics








"On Mityagin's Problem"





Alexander Goncharov

(Bilkent University)





Abstract: In 1961 B. S. Mityagin posed a problem to give a characterization of the extension property of compact sets in geometric terms.We show that there is no such characterization in terms of  Hausdorff  measures or densities of measures or Hausdorff contents. This is similar to the situation in Potential Theory where R. Nevanlinna and H. Ursell proved that there  is no general geometric characterization of polarity of compact sets. Tea and cookies will be served  before  the seminar.






Tea and cookies will be served before the seminar.



Date:  Tuesday, September 24, 2013

Time: 16.00

Place: Mathematics Seminar Room, SA-141