Applications of the New Contents and Measures

Heinz König ()
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Heinz König: Universität des Saarlandes, Fakultät für Mathematik und Informatik

Chapter CHAPTER VIII in Measure and Integration, 1997, pp 231-248 from Springer

Abstract: The present final chapter is independent of the extension theories of chapter II and of the subsequent chapters III and V to VII. It returns to chapter I and in particular to the new notions of contents and measures defined in section 2. The main purpose of these notions was to form the soil on which the outer and inner extension theories of chapter II became identical. The present chapter wants to demonstrate that the new notions can be useful in other contexts as well, in order to obtain more reasonable forms of the results, or to contribute to their proofs and to their mutual relations. We consider the domain of some famous decomposition theorems.

Date: 1997
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DOI: 10.1007/978-3-540-89502-2_8

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