On Measurability of C0, 1: Countable Dense Set Approach

Varayu Boonpogkrong

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On Measurability of C0, 1: Countable Dense Set Approach

机译：可测性的C0, 1:可数稠密集方法

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In V. Boonpogkrong, On measurability of C[0,1], Thai J. Math. (accepted) we have proved that C[0,1] is measurable in a setting of a dyadic Henstock integral, where dimension sets are subsets of the dyadic rational. In this paper, we replace "dyadic rational" by "countable dense set" and use a setting of Henstock integral, where dimension sets are subsets of this fixed countable dense set. The collection of measurable sets in this new setting is smaller than that in the old setting. We still can prove that C[0, 1] is measurable.

机译：在诉Boonpogkrong可测性的C [0, 1],泰国j .数学。C[0, 1]二元的设置是可以衡量的Henstock积分,维度集二元理性的子集。“可数密集取代“理性二元”设置”,设置使用Henstock积分,这个固定的维度集的子集哪可数稠密集。集在这个新设置较小的比旧的设置。是可以衡量的。

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来源
《Proceeding of the Singapore National Academy of Science》 |2021年第1期|17-22|共6页
作者
Varayu Boonpogkrong;
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作者单位

Department of Mathematics and Statistics Faculty of Science, Prince of Songkla University Hat Yai 90112, Thailand;

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原文格式 PDF
正文语种英语
中图分类自然科学总论;
关键词
Dense; SETTING; CountableSubsetTestability;

机译：密集;设置;CountableSubsetTestability;

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On Measurability of C0, 1: Countable Dense Set Approach

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