On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space

• Дата: 2008
• Автор: Kharazishvili, A.B.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2008
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/4550
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.

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 sub...