Coordinatewise decomposition of group-valued Borel functions
Benjamin D. Miller
Fundamenta Mathematicae, Tome 193 (2007), p. 119-126 / Harvested from The Polish Digital Mathematics Library
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Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:283357 
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Benjamin D. Miller. Coordinatewise decomposition of group-valued Borel functions. Fundamenta Mathematicae, Tome 193 (2007) pp. 119-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm196-2-2/