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Lebesgue Integral in Abelian Omega Group

Lebesgue Integral in Abelian Omega Group

Paperback

Calculus

ISBN10: 1541099168
ISBN13: 9781541099166
Publisher: Createspace
Published: Dec 19 2016
Pages: 96
Weight: 0.54
Height: 0.25 Width: 7.00 Depth: 10.00
Language: English
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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Calculus