On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space
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...
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| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/4550 |
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| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-4550 |
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dspace |
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irk-123456789-45502009-12-07T12:00:31Z On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space Kharazishvili, A.B. 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. 2008 Article 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 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kharazishvili, A.B. |
| spellingShingle |
Kharazishvili, A.B. On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space |
| author_facet |
Kharazishvili, A.B. |
| author_sort |
Kharazishvili, A.B. |
| title |
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space |
| title_short |
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space |
| title_full |
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space |
| title_fullStr |
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space |
| title_full_unstemmed |
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector space |
| title_sort |
on a bad descriptive structure of minkowski’s sum of certain small sets in a topological vector space |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/4550 |
| citation_txt |
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. |
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AT kharazishviliab onabaddescriptivestructureofminkowskissumofcertainsmallsetsinatopologicalvectorspace |
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2023-03-24T08:30:39Z |
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2023-03-24T08:30:39Z |
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1796139192833540096 |