Archive for Mathematical Logic 50 (5-6):661-664 (2011)

Abstract
We give an affirmative answer to the following question: Is any Borel subset of a Cantor set C a sum of a countable number of pairwise disjoint h-homogeneous subspaces that are closed in X? It follows that every Borel set ${X \subset {\bf R}^n}$ can be partitioned into countably many h-homogeneous subspaces that are G δ -sets in X
Keywords Borel sets   h-homogeneous spaces  Wadge classification
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DOI 10.1007/s00153-011-0239-6
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