群在超空间上的部分作用

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-05-21 DOI:10.4995/agt.2022.15745

L. Mart'inez, H. Tapia, Edwar Ram'irez

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引用次数: 0

摘要

设X是紧的Hausdorff空间。本文将X的部分作用转化为由X决定的超空间上的部分作用，给出了紧Hausdorff空间上的部分作用范畴中的一个内函子2-，并在该范畴中生成了一个单子。建立了X上的偏作用θ与由2θ决定的偏作用θ之间的结构关系及其相应的全局化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Partial actions of groups on hyperspaces

Let X be a compact Hausdorff space. In this work we translate partial actions of X to partial actions on some hyperspaces determined by X, this gives an endofunctor 2- in the category of partial actions on compact Hausdorff spaces which generates a monad in this category. Moreover, structural relations between partial actions θ on X and partial determined by 2θ as well as their corresponding globalizations are established.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.