Induced mappings on the hyperspace of totally disconnected sets

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0077

José G. Anaya, Martha Hernández-Castañeda, David Maya

引用次数: 0

Abstract

The symbol TD(X) denotes the hyperspace of all nonempty totally disconnected compact subsets of a Hausdorff space X. This hyperspace is endowed with the Vietoris topology. For a mapping between Hausdorff spaces f : X → Y, define the induced mapping TD(f) : TD(X) → TD(Y) by TD(f)(A) = f(A) (the image of A under f). In the current paper, we study the relationships between the condition f belongs to a class of mappings between Hausdorff spaces 𝕄 and the condition TD(f) belongs to 𝕄.

查看原文本刊更多论文

完全断开集超空间上的诱导映射

符号 TD(X) 表示豪斯多夫空间 X 的所有非空完全断开紧凑子集的超空间。对于 Hausdorff 空间 f : X → Y 之间的映射，定义诱导映射 TD(f) ：TD(X)→TD(Y)定义为 TD(f)(A)=f(A)（f 下 A 的像）。在本文中，我们将研究 f 属于 Hausdorff 空间 𝕄 之间的一类映射的条件与 TD(f) 属于 𝕄 的条件之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.