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arXiv · 1310.5591

Integral of Map into Abelian $\Omega$-group

Aleks Kleyn
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Abstract

The common in ring, module and algebra is that they are Abelian group with respect to addition. This property is enough to study integration. I treat integral of measurable map into normed Abelian $\Omega$-group. Theory of integration of maps into $\Omega$-group has a lot of common with theory of integration of functions of real variable. However I had to change some statements, since they implicitly assume either compactness of range or total order in $\Omega$-group.

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Aleks Kleyn. 2013-10-11. Integral of Map into Abelian $\Omega$-group. https://arxiv.org/abs/1310.5591

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