任意迭代布朗运动不是伪弧

Q4 Mathematics

Confluentes Mathematici Pub Date : 2021-01-29 DOI:10.5802/cml.70

Jérôme Casse, N. Curien

引用次数: 0

摘要

我们证明了在arXiv:2004.01367中考虑的由独立的双边布朗运动构造的随机连续统$\mathcal{C}$几乎肯定会产生一个非退化的不可分解但非遗传的不可分解连续统。特别是$\mathcal{C}$(不幸的是)不是伪弧。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Iterated Brownian motion ad libitum is not the pseudo-arc

We show that the construction of a random continuum $\mathcal{C}$ from independent two-sided Brownian motions as considered in arXiv:2004.01367 almost surely yields a non-degenerate indecomposable but not-hereditary indecomposable continuum. In particular $\mathcal{C}$ is (unfortunately) not the pseudo-arc.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.