Abstract Measure Theory

Ammar Khanfer ()
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Ammar Khanfer: Prince Sultan University, Department of Mathematics and Sciences

Chapter Chapter 5 in Measure Theory and Integration, 2023, pp 177-202 from Springer

Abstract: Abstract The objective of this chapter is to extend measure theory by generalizing the concept of measure to include more general sets other than sets in $$\mathbb {R}^{n}.$$ Of course, this newly defined measure won’t be Lebesgue measure, so in this general measure theory, we are generalizing the measure function and the measurable sets. Since we will be dealing with abstract spaces with no clear idea of the identity of elements, it would be hard to employ a definition of measure without making sure the axioms of the measure will be satisfied.

Date: 2023
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DOI: 10.1007/978-981-99-2882-8_5

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