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Imbedding of categories

From Encyclopedia of Mathematics
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A covariant functor from a category into a category which is injective on the class of morphisms of .

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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