通过遗传类和广义拓扑的集合核的统一理论

IF 0.4 Q4 MATHEMATICS

Missouri Journal of Mathematical Sciences Pub Date : 2023-05-01 DOI:10.35834/2023/3501060

José Sanabria, Laura Maza, Ennis Rosas, Carlos Carpintero

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引用次数: 0

摘要

我们在具有遗传类的广义拓扑空间中构造了集核的几个变体的统一，这是引入开集和闭集等重要概念的新修正的一个基本概念。这种新的理论框架使得分离性质的统一形式的研究在比提供理想拓扑空间的情况下更为普遍和通用。

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Unified theory of the kernel of a set via hereditary classes and generalized topologies

We build a unification of several variants of the kernel of a set in a generalized topological space endowed with a hereditary class, which is a fundamental concept to introduce new modifications of important concepts as open sets and closed sets. This new theoretical framework leads to the study in unified form of separation properties in a context much more general and versatile than the case of a topological space provided with an ideal.

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来源期刊

Missouri Journal of Mathematical Sciences MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.