Closed map: Difference between revisions
No edit summary |
|||
| Line 17: | Line 17: | ||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Quotient map]] | * [[Quotient map]] (if we assume surjectivity) | ||
Revision as of 17:09, 13 January 2008
This article defines a property of continuous maps between topological spaces
Definition
Symbol-free definition
A continuous map between topological spaces is termed a closed map if it satisfies the following equivalent properties:
- The image of any closed subset is closed
Relation with other properties
Stronger properties
Weaker properties
- Quotient map (if we assume surjectivity)