Lower separation axioms in bitopogenous spaces

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-05-28 DOI:10.1515/ms-2024-0037

Tom Richmond, Josef Šlapal

引用次数: 0

Abstract

Several naturally defined lower separation axioms for bitopological spaces obtained by modifying the axioms T 0, T 1, and R 0 appear in the literature. We introduce and study analogous separation axioms for bitopogenous spaces. In particular, we investigate relationships between the axioms and discuss the conditions under which the relationships are similar to those between the corresponding separation axioms for bitopological spaces.

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位元空间中的下分离公理

文献中出现了几条通过修改公理 T 0、T 1 和 R 0 而自然定义的位元空间下层分离公理。我们引入并研究了位元空间的类似分离公理。我们特别研究了这些公理之间的关系，并讨论了这些关系与位元论空间相应分离公理之间关系相似的条件。

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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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.