Infinite-dimensional polychromatic colorings

Seminar
Speaker
Dani Livne
Date
24/11/2013 - 10:10Add to Calendar 2013-11-24 10:10:00 2013-11-24 10:10:00 Infinite-dimensional polychromatic colorings We shall prove that for every infinite cardinal k, there exists a coloring c:[k]w→X satisfying the following: c is 2-to-1; c restricted to  [A]w is not injective for every infinite A. Letcure Notes אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

We shall prove that for every infinite cardinal k, there exists a coloring c:[k]wX satisfying the following:

  • c is 2-to-1;
  • c restricted to  [A]w is not injective for every infinite A.

Letcure Notes

Last Updated Date : 28/11/2013