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On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space
Репозиторій DSpace/Manakin
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On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space
УДК:
519.21
Посилання:
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space / A.B. Kharazishvili // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 35–41. — Бібліогр.: 22 назв.— англ.
Дата:
2008
Переглядів:
1193
Завантажень:
928
Анотація:
For some natural classes of topological vector spaces, we show the absolute nonmeasurability of Minkowski’s sum of certain two universal measure zero sets. This result can be considered as a strong form of the classical theorem of Sierpinski [8] stating the existence of two Lebesgue measure zero subsets of the Euclidean space, whose Minkowski’s sum is not Lebesgue measurable.
