Introductory Topics in Binary Set Functions

Details Introductory Topics in Binary Set Functions Introductory Topics in Binary Set Functions

2001-10-31

arxiv.org/abs/math/0110336v1

Serban E. Vlad, Introductory Topics in Binary Set Functions, Analele Universitatii din Oradea, Fascicola matematica, Tom VII,

Mathematics

General Mathematics

the MSC-class was chosen by analogy: we refer to binary valued functions here, not to real valued functions

Scientific paper

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.

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