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26-XX Real functions
26Bxx Functions of several variables
26B15 Integration: length, area, volume

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Continuity of monotone functions

Boris Lavrič (1993)

Archivum Mathematicum

It is shown that a monotone function acting between euclidean spaces $R^{n}$ and $R^{m}$ is continuous almost everywhere with respect to the Lebesgue measure on $R^{n}$ .

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