Regular generalized closed sets in generalized topological spaces (Q2796451)

From MaRDI portal





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

    Statements

    0 references
    0 references
    0 references
    24 March 2016
    0 references
    generalized topological space
    0 references
    \(\mu\)rg-closed set
    0 references
    \(\mu\)rg-open set
    0 references
    Regular generalized closed sets in generalized topological spaces (English)
    0 references
    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.
    0 references

    Identifiers