On a Theorejj in the Theory of Relations and a Solution of a Proble,m of Knaster

  • COLLOQUIUM MATHEMATICUM, Y. ERDijS BUDAPEST, E. SPECEER
  • Published 2001
In 1933 Tur&n raised the following problem. Let an arbitrary finite set f(a) correspond to every real number m. Two dist,inet numbers x and q are said to be independent if s$f(y) and y #f(a). A subset S' of the set 8 of real numbers is said to be ilzdependelzt if any two of its elements are independent. Turhn then asked: does there always exist an infinite… CONTINUE READING