Localic transitivity

IF 0.6 4区 数学 Q3 MATHEMATICS Algebra Universalis Pub Date : 2022-06-28 DOI:10.1007/s00012-022-00783-4
Ali Akbar Estaji, Maryam Robat Sarpoushi, Ali Barzanouni
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引用次数: 0

Abstract

For a dynamical system (Xf), the notion of topological transitivity has been studied by some researchers. There are several definitions of this property, and it is part of the folklore of dynamical systems that under some hypotheses, they are equivalent. In this paper, our aim is to introduce and study some properties of topological transitivity in pointfree topology, for which we first need to define in a way what makes them conservative extensions of topological transitivity defined by G.D. Birkhoff. We describe the way the different properties are related to each other in pointfree topology.

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局部及物性
对于一个动力系统(X,f),拓扑传递性的概念已经被一些研究者所研究。这种性质有几种定义,在一些假设下,它们是等价的,这是动力系统民间传说的一部分。在本文中,我们的目的是介绍和研究无点拓扑中拓扑传递性的一些性质,为此,我们首先需要定义一种使它们成为G.D.Birkhoff定义的拓扑传递性保守扩展的方法。我们描述了在无点拓扑中不同属性相互关联的方式。
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来源期刊
Algebra Universalis
Algebra Universalis 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
34
审稿时长
3 months
期刊介绍: Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.
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