On negligible and absolutely nonmeasurable subsets of uncountable solvable groups
It is proved that every uncountable solvable group contains two negligible sets whose union is an absolutely nonmeasurable subset of the same group. Keywords: Solvable group, Invariant measure, Quasi-invariant measure, Negligible set, Absolutely nonmeasurable set
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| Language: | English |
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Elsevier
2016-05-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216000106 |
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doaj-b9e073c6dcb54ff09bfae20d6e718c442020-11-24T23:21:42ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922016-05-0117016974On negligible and absolutely nonmeasurable subsets of uncountable solvable groupsAlexander Kharazishvili0A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 6, Tamarashvili st., Tbilisi 0177, GeorgiaIt is proved that every uncountable solvable group contains two negligible sets whose union is an absolutely nonmeasurable subset of the same group. Keywords: Solvable group, Invariant measure, Quasi-invariant measure, Negligible set, Absolutely nonmeasurable sethttp://www.sciencedirect.com/science/article/pii/S2346809216000106 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alexander Kharazishvili |
| spellingShingle |
Alexander Kharazishvili On negligible and absolutely nonmeasurable subsets of uncountable solvable groups Transactions of A. Razmadze Mathematical Institute |
| author_facet |
Alexander Kharazishvili |
| author_sort |
Alexander Kharazishvili |
| title |
On negligible and absolutely nonmeasurable subsets of uncountable solvable groups |
| title_short |
On negligible and absolutely nonmeasurable subsets of uncountable solvable groups |
| title_full |
On negligible and absolutely nonmeasurable subsets of uncountable solvable groups |
| title_fullStr |
On negligible and absolutely nonmeasurable subsets of uncountable solvable groups |
| title_full_unstemmed |
On negligible and absolutely nonmeasurable subsets of uncountable solvable groups |
| title_sort |
on negligible and absolutely nonmeasurable subsets of uncountable solvable groups |
| publisher |
Elsevier |
| series |
Transactions of A. Razmadze Mathematical Institute |
| issn |
2346-8092 |
| publishDate |
2016-05-01 |
| description |
It is proved that every uncountable solvable group contains two negligible sets whose union is an absolutely nonmeasurable subset of the same group. Keywords: Solvable group, Invariant measure, Quasi-invariant measure, Negligible set, Absolutely nonmeasurable set |
| url |
http://www.sciencedirect.com/science/article/pii/S2346809216000106 |
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AT alexanderkharazishvili onnegligibleandabsolutelynonmeasurablesubsetsofuncountablesolvablegroups |
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