When isf(x1, x2, ..., xn) =u 1(x1) +u 2(x2) + ... +u n(xn)?
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We discuss subsetsS of ℝn such that every real valued functionf onS is of the formf(x1, x2, ..., xn) =u 1(x1) +u 2(x2) +...+u n(xn), and the related concepts and situations in analysis.
KeywordsGood set sequentially good set linked component sequentially good measure simplicial measure
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