Open map: Difference between revisions
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A [[continuous map]] of [[topological space]]s is termed an '''open map''' if the image of any [[open subset]] of the domain space is an open subset of the range space. | A [[continuous map]] of [[topological space]]s is termed an '''open map''' if the image of any [[open subset]] of the domain space is an open subset of the range space. | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Homeomorphism]] | |||
* [[Local homeomorphism]] | |||
===Weaker properties=== | |||
* [[Quotient map]] | |||
* [[Inductively open map]] | |||
Revision as of 09:41, 18 August 2007
This article defines a property of continuous maps between topological spaces
Definition
A continuous map of topological spaces is termed an open map if the image of any open subset of the domain space is an open subset of the range space.