Proper map: Difference between revisions
m (K-map moved to Proper map) |
No edit summary |
||
| Line 5: | Line 5: | ||
===Symbol-free definition=== | ===Symbol-free definition=== | ||
A [[continuous map]] of [[topological space]]s is termed a ''' | A [[continuous map]] of [[topological space]]s is termed a '''proper map''' if the inverse image of any [[compact space|compact subset]] in the image set, is a compact subset of the domain. | ||
==Relation with other properties== | ==Relation with other properties== | ||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Perfect map]] | * [[Perfect map]] | ||
Revision as of 01:27, 27 October 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Definition
Symbol-free definition
A continuous map of topological spaces is termed a proper map if the inverse image of any compact subset in the image set, is a compact subset of the domain.