Polychromatic colorings of the first uncountable cardinal

יום א', 17/11/2013 - 10:10
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Abstract: 

We shall provide sufficient conditions for the existence of a function f:[w1]2→w1 satisfying the following:

  • f is 2-to-1;
  • f restricted to any uncountable square [X]2 is not injective.
     

Lecture Notes