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Measure and Integration: Mutual generation of outer and inner premeasures

In: Measure and Integration

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  • Heinz König

    (Universität des Saarlandes, Fachbereich Mathematik)

Abstract

The present article is one of several continuations of the recent book of the author [1997a] on measure and integration (cited as MI). This work has the aim to restructure the area of the basic extension and representation procedures which produce the central formations of the theory, like measures of different kinds, from the more primitive data which one meets in nature, like elementary contents and elementary integrals. It is a systematization of the new development which started with Kisyński [1968] and Topsøe [1970ab]. Its fundamental concepts are certain kinds of outer and inner premeasures and their outer and inner extensions. In MI and in the subsequent papers of the author [1997b][1999ab] there are numerous applications which show the power of the new development.

Suggested Citation

  • Heinz König, 2012. "Measure and Integration: Mutual generation of outer and inner premeasures," Springer Books, in: Measure and Integration, edition 127, pages 33-56, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0382-3_3
    DOI: 10.1007/978-3-0348-0382-3_3
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