Difference between revisions of "Imbedding of categories"
From Encyclopedia of Mathematics
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| − | A covariant [[Functor|functor]] | + | {{TEX|done}} |
| + | A covariant [[Functor|functor]] $F$ from a category $C$ into a category $C_1$ which is injective on the class of morphisms of $C$. | ||
====Comments==== | ====Comments==== | ||
Equivalently, an imbedding is a [[Faithful functor|faithful functor]] which is injective on objects. Some authors use the term "imbedding" as a synonym for "faithful functor" . | Equivalently, an imbedding is a [[Faithful functor|faithful functor]] which is injective on objects. Some authors use the term "imbedding" as a synonym for "faithful functor" . | ||
Latest revision as of 14:16, 17 July 2014
A covariant functor $F$ from a category $C$ into a category $C_1$ which is injective on the class of morphisms of $C$.
Comments
Equivalently, an imbedding is a faithful functor which is injective on objects. Some authors use the term "imbedding" as a synonym for "faithful functor" .
How to Cite This Entry:
Imbedding of categories. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Imbedding_of_categories&oldid=12847
Imbedding of categories. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Imbedding_of_categories&oldid=12847