Geodesic
On the Kluvánek Construction of the Lebesgue Integral
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 52 (2013) no. 2, pp. 99-105.

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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.
Classification : 28A25
Keywords: Lebesgue integral; rings of sets; measures on compact interval 
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Riečan, Beloslav. On the Kluvánek Construction of the Lebesgue Integral. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 52 (2013) no. 2, pp. 99-105. http://geodesic.mathdoc.fr/item/AUPO_2013__52_2_a8/