Geodesic
A descriptive definition of a BV integral in the real line
Mathematica Bohemica, Tome 124 (1999) no. 4, pp. 421-432.

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A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.
DOI : 10.21136/MB.1999.125999
Classification : 26A39, 26A45
Keywords: pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem; ACG$^\circ$; ACG$^\circ$ 
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Caponetti, Diana; Marraffa, Valeria. A descriptive definition of a BV integral in the real line. Mathematica Bohemica, Tome 124 (1999) no. 4, pp. 421-432. doi : 10.21136/MB.1999.125999. http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125999/

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