选择原则和双拓扑超空间

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-04-05 DOI:10.4995/agt.2023.12424

A. Osipov

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引用次数: 0

摘要

在本文中，我们继续研究了空间X上超空间的闭型性质与X的覆盖性质之间的关系。对于Hausdorff空间X，我们用2X表示X的所有闭子集的族。我们研究了双拓扑空间(2X， Δ1+， Δ2+)的选择性质，其中Δi+是每个i=1,2的上Δi-topology。

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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Selection principles and bitopological hyperspaces

In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2X the family of all closed subsets of X. We investigate selection properties of the bitopological space (2X, Δ1+ , Δ2+) where Δi+ is the upper Δi-topology for each i=1,2.

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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.