On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space
|
|
| Creator |
Kharazishvili, A.B.
|
|
| Description |
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.
|
|
| Date |
2009-12-03T16:35:43Z
2009-12-03T16:35:43Z 2008 |
|
| Type |
Article
|
|
| Identifier |
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.
0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4550 519.21 |
|
| Language |
en
|
|
| Publisher |
Інститут математики НАН України
|
|