Regular generalized closed sets in generalized topological spaces (Q2796451)
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scientific article; zbMATH DE number 6560219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular generalized closed sets in generalized topological spaces |
scientific article; zbMATH DE number 6560219 |
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24 March 2016
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generalized topological space
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\(\mu\)rg-closed set
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\(\mu\)rg-open set
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Regular generalized closed sets in generalized topological spaces (English)
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Let \(X\) be a nonempty set. A collection \(\mu\) of subsets of \(X\) is called a generalized topology if it contains the empty set and is closed under arbitrary unions. The pair \ \((X,\mu )\) \ is said to be a generalized topological space, and the elements of \(\mu\) are called \(\mu\)-open (and their complements \(\mu\)-closed).NEWLINENEWLINEThe authors further consider the notions of a strong generalized topological space and a quasi-topological space. The main part of the paper consists in considering and investigating appropriate notions of regular closedness in this setting.
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