位元空间中的下分离公理

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

Tom Richmond, Josef Šlapal

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引用次数: 0

摘要

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。

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Lower separation axioms in bitopogenous spaces

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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