A partition relation for pairs on $$omega ^{omega ^omega }$$

Archive for Mathematical Logic 57 (7-8):727-753 (2018)
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Abstract

We consider colorings of the pairs of a family \ of topological type \, for \; and we find a homogeneous family \ for each coloring. As a consequence, we complete our study of the partition relation \^2_{l,m}}\) identifying \ as the smallest ordinal space \^2_{l,4}}\).

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