Some characterizations of open, closed, and continuous mappings (Q938523)
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: Some characterizations of open, closed, and continuous mappings |
scientific article; zbMATH DE number 5313294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some characterizations of open, closed, and continuous mappings |
scientific article; zbMATH DE number 5313294 |
Statements
Some characterizations of open, closed, and continuous mappings (English)
0 references
19 August 2008
0 references
Summary: We obtain new characterizations of open maps in terms of closures, of closed maps in terms of interiors, and of continuous maps in terms of interiors. Further open (closed) onto maps \(f:X\rightarrow Y\) are described in terms of images under \(f\) of certain closed (open) sets in \(X\). Continuity of (onto) maps is also characterized in terms of saturated sets.
0 references
0.9142342
0 references
0.9139964
0 references
0.90999264
0 references
0.90480506
0 references
0.8991428
0 references
