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Nonmeasurable Sets and Functions, Volume 195 (North-Holland Mathematics Studies)

Alexander Kharazishvili




[PDF.eq53] Nonmeasurable Sets and Functions, Volume 195 (North-Holland Mathematics Studies)

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 | #7995860 in Books |  2004-06-12 | Original language:English | PDF # 1 |  9.21 x.81 x6.14l,1.47 | File type: PDF | 349 pages

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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 Euclidean spaces;
2. ...

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