Nonmeasurable Sets and Functions (English, Alexander Kharazishvili)
Sciences, Technology & Medicine

Nonmeasurable Sets and Functions (English, Alexander Kharazishvili)

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ISBN-139780444516268
ISBN-100444516263

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About the Book

The book is devoted to various constructions of sets which are nonmeasurable with respect to invariant (more generally, quasi-invariant) measures. Our starting point is the classical Vitali theorem stating the existence of subsets of the real line which are not measurable in the Lebesgue sense. This theorem stimulated the development of the following interesting topics in mathematics:1. Paradoxical decompositions of sets in finite-dimensional Euc…

ISBN: 9780444516268

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