Canonical Forms of Borel Functions on the Milliken Space

Klein, Olaf

The goal of this work is to canonize arbitrary Borel measurable mappings on the Milliken space, which is the space of all increasing infinite sequences of pairwise disjoint nonempty finite subsets of the set of all nonnegative integers. The main result refers to the metric topology on the Milliken space. The result is a common generalization of a theorem of Taylor and a theorem of Prömel and Voigt.

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Klein, Olaf: Canonical Forms of Borel Functions on the Milliken Space. 2002.

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