Introductory Topics in Binary Set Functions
General Mathematics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0110336,
title = {Introductory Topics in Binary Set Functions},
author = {Serban E. Vlad},
journal= {arXiv preprint arXiv:math/0110336},
year = {2007}
}
Comments
the MSC-class was chosen by analogy: we refer to binary valued functions here, not to real valued functions