Please use this identifier to cite or link to this item: doi:10.22028/D291-26493
Title: Measure and integration : the basic extension theorems
Author(s): König, Heinz
Language: English
Year of Publication: 2012
DDC notations: 510 Mathematics
Publikation type: Preprint
Abstract: The present article returns to the new foundations of measure and integration due to the author. In this development the basic extension procedures lead from the so-called outer and inner premeasures to their unique maximal extensions. The initial version was for extended real valued set functions. In the sequel we want to achieve a major simplification, in that we develop the procedures - with no loss in the essentials - in the traditional frame of nonnegative set functions. The final section then will obtain an important extension theorem in the inner theories.
Link to this record: urn:nbn:de:bsz:291-scidok-47648
hdl:20.500.11880/26549
http://dx.doi.org/10.22028/D291-26493
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 230
Date of registration: 23-May-2013
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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