An Important Lebesgue Non-Measurable Function

被引：0
|
作者：
Petrovai, Diana Marginean [1 ]
机构：
[1] George Emil Palade Univ Med Pharm Sci & Technol T, Gh Marinescu St 38, Targu Mures 540139, Romania
来源：
13TH INTERNATIONAL CONFERENCE INTERDISCIPLINARITY IN ENGINEERING (INTER-ENG 2019) | 2020年 / 46卷
关键词：
sigma-algebra; Cator's set; Lebesgue measurable functions; Lebesgue non-measurable functions;
D O I：
10.1016/j.promfg.2020.03.082
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Since if we have a function f : R -> R continuous and a function g : R -> R Lebesgue measurable does not necessarily result that the function g circle f is Lebesgue measurable, with the help of Cantor's set we will constructed a Lebesgue measurable function h : R -> R and a continuous function u : R -> R, such that the function h circle u:R -> R is not Lebesgue measurable. (C) 2020 The Authors. Published by Elsevier B.V.
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页码：570 / 572
页数：3
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