ON WEAKLY METRICALLY TRANSITIVE MEASURES AND NONMEASURABLE SETS

A. B. Kharazishvili; A. P. Kirtadze

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ON WEAKLY METRICALLY TRANSITIVE MEASURES AND NONMEASURABLE SETS

机译：关于弱度量传递度量和不可测集

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摘要

It is shown that some analog of Minkowski's method in geometric number theory enables to establish the existence of sets which are absolutely nonmeasurable with respect to weakly metrically transitive invariant measures.

机译：结果表明，在几何数论中对Minkowski方法的某些模拟使得能够建立相对于弱度量传递不变性度量而言绝对不可测量的集合的存在。

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来源
《Real analysis exchange》 |2007年第2期|p.553-562|共10页
作者
A. B. Kharazishvili; A. P. Kirtadze;
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作者单位

A. Razmadze Institute of Mathematics, M. Alexidze Street, 1, Tbilisi 0193, Republic of Georgia;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
invariant measure; nonmeasurable set; convex set; weakly metrically tran-sitive measure; extension of measure; G-selector;

机译：不变测度;不可测集;凸集;弱度量传递性;测度的扩展;G选择器;

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1. METRICAL TRANSITIVITY AND NONSEPARABLE EXTENSIONS OF INVARIANT MEASURES [J] . Kharazishvili A. B. Taiwanese journal of mathematics . 2009,第3期

机译：度量度量的数据传递性和不可分扩展
2. Weakly mixing sets and transitive sets for non-autonomous discrete systems [J] . Lei Liu, Yuejuan Sun Advances in Difference Equations . 2014,第1期

机译：非自治离散系统的弱混合集和传递集
3. Weakly mixing sets and transitive sets for non-autonomous discrete systems [J] . Lei Liu, Yuejuan Sun Advances in Difference Equations . 2014,第1期

机译：非自治离散系统的弱混合集和传递集
4. Fuzzy Multimeasures in Birkhoff Weak Set-Valued Integrability [C] . Anca Croitoru, Alina Iosify, Nikos Mastorakisz, International Conference on Mathematics and Computers in Sciences and in Industry . 2016

机译：Birkhoff弱集值可积性中的模糊多重度量
5. Computing Minimum Feedback Arc Set to Quantify the Transitivity in Sports Teams [D] . Hajeri, Vishalsingh. 2017

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6. On the Metrical Transitivity of the Geodesics on a Surface of Constant Negative Curvature [O] . Gustav A. Hedlund 1934

机译：常负曲率面上测地线的度量传递性
7. The existence of nonmeasurable sets for invariant measures [O] . Marcin Penconek, Piotr Zakrzewski 1994

机译：不变措施的不可批量集的存在

ON WEAKLY METRICALLY TRANSITIVE MEASURES AND NONMEASURABLE SETS

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