Introductory Topics in Binary Set Functions

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Let X be a non-empty set and U a ring of subsets of X. The countable additive functions U->{0,1} are called measures. The paper gives some definitions (derivable measures, the Lebesgue-Stieltjes measures) and properties of these functions, its purpose being that of reconstruction of the measure theory within this frame, by analogy with the real measure theory. We mention the special case of the Riemann integrals.
the MSC-class was chosen by analogy: we refer to binary valued functions here, not to real valued functions

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General Mathematics, 26A99

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http://salesiana.dossiersoluciones.com/handle/123456789/62531

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110336
 http://arxiv.org/abs/math/0110336
 Serban E. Vlad, Introductory Topics in Binary Set Functions, Analele Universitatii din Oradea, Fascicola matematica, Tom VII, 1999

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arXiv