On \(S\)-cluster sets and \(S\)-closed spaces (Q1578341)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On \(S\)-cluster sets and \(S\)-closed spaces |
scientific article; zbMATH DE number 1496710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(S\)-cluster sets and \(S\)-closed spaces |
scientific article; zbMATH DE number 1496710 |
Statements
On \(S\)-cluster sets and \(S\)-closed spaces (English)
0 references
22 November 2000
0 references
Summary: A new type of cluster sets, called \(S\)-cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying \(S\)-closed spaces. The deliberation includes an explicit expression of \(S\)-cluster set of a function. As an application, characterizations of Hausdorff and \(S\)-closed topological spaces are achieved via such cluster sets.
0 references
\(S\)-closedness
0 references
\(\theta_s\)-closure
0 references
semi-open sets
0 references
\(S\)-cluster set
0 references
