Category of topological spaces: Difference between revisions
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The '''category of topological spaces''', denoted <math>\operatorname{Top}</math>, is defined as follows: | The '''category of topological spaces''', denoted <math>\operatorname{Top}</math>, is defined as follows: | ||
* Its objects are [[topospaces:topological space]]s. | * Its objects are [[topospaces:topological space|topological space]]s. | ||
* Its morphisms are continuous maps of topological spaces. | * Its morphisms are continuous maps of topological spaces. | ||
* The identity morphism is the identity map. | * The identity morphism is the identity map. | ||
Latest revision as of 00:01, 10 December 2008
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Definition
The category of topological spaces, denoted , is defined as follows:
- Its objects are topological spaces.
- Its morphisms are continuous maps of topological spaces.
- The identity morphism is the identity map.
- Composition of morphisms is defined by function composition.