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To B. L. van der Waerden on his eightieth birthday 1. For every set X and every cardinal number r we put if and only if x k = ^ for XeL. In [1] the following result was proved: THEOREM 1. Given any partition f: [A] r-> F, there is an infinite set B ^ A and a set L £ {0, ..., r— 1} such that fis L-canonical on B. The object of this note is (i) to give a new(More)
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