On the Kluvánek construction of the Lebesgue integral. (English) Zbl 1292.28007

Summary: I. Kluvánek suggested to built the Lebesgue integral on a compact interval in the real line by the help of the length of intervals only. In the paper a modification of the Kluvánek construction is presented applicable to abstract spaces, too.


28A25 Integration with respect to measures and other set functions
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