Closed map: Difference between revisions
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* The image of any [[closed subset]] is closed | * The image of any [[closed subset]] is closed | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Proper map]] | |||
* [[Perfect map]] | |||
===Weaker properties=== | |||
* [[Quotient map]] (if we assume surjectivity) | |||
Latest revision as of 19:40, 11 May 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)