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tranthuongbn



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Join date : 2011-03-04

PostSubject: Embeddingsf   Sun Jul 10, 2011 11:48 pm

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.
When some object X is said to be embedded in another object Y, the embedding is given by some injective and structure-preserving map f : X → Y. The precise meaning of "structure-preserving" depends on the kind of mathematical structure of which X and Y are instances. In the terminology of category theory, a structure-preserving map is called a morphism.
The fact that a map f : X → Y is an embedding is often indicated by the use of a "hooked arrow", thus: On the other hand, this notation is sometimes reserved for inclusion maps.
Given X and Y, sev

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