Geodesic
Coordinatewise decomposition of group-valued Borel functions
Benjamin D. Miller1
1 Department of Mathematics University of California 520 Portola Plaza Los Angeles, CA 90095-1555, U.S.A.
Fundamenta Mathematicae, Tome 196 (2007) no. 2, pp. 119-126

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets $S \subseteq X \times Y$ with the property that every Borel function $f : S \rightarrow \mathbb C$ is of the form $f(x,y) = u(x) + v(y)$, where $u : X \rightarrow \mathbb C$ and $v : Y \rightarrow \mathbb C$ are Borel.
DOI : 10.4064/fm196-2-2
Keywords: answering question opotowski nadkarni sarbadhikari srivastava characterize borel sets subseteq times property every borel function rightarrow mathbb form where rightarrow mathbb rightarrow mathbb borel

Benjamin D. Miller 1

1 Department of Mathematics University of California 520 Portola Plaza Los Angeles, CA 90095-1555, U.S.A. 
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Benjamin D. Miller. Coordinatewise decomposition of  group-valued Borel
functions. Fundamenta Mathematicae, Tome 196 (2007) no. 2, pp. 119-126. doi: 10.4064/fm196-2-2

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