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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     title = {On the {Kluv\'anek} {Construction} of the {Lebesgue} {Integral}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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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/