Unified theory of the kernel of a set via hereditary classes and generalized topologies (Q6110084)
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scientific article; zbMATH DE number 7720617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unified theory of the kernel of a set via hereditary classes and generalized topologies |
scientific article; zbMATH DE number 7720617 |
Statements
Unified theory of the kernel of a set via hereditary classes and generalized topologies (English)
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31 July 2023
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In this paper the authors investigate a unification of variants of the kernel of a set in a generalized topological space endowed with a hereditary class. Based on this investigation, in the framework of hereditary generalized topological spaces, they introduce and study new modifications of sets and new separation properties.
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generalized topology
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hereditary class
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\(\mu\)-kernel
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function \(A^\bullet_\mu(\mathcal{H})\)
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\(\mu^\bullet\)-closed set
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\((\mu^\star, \mu^\bullet)\)-\(T_{1/2}\) space
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\(\mathcal{H}\)-\(g\Lambda_\mu\)-set
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