# Opinions on Embedding

Here you have a list of opinions about Embedding and you can also give us your opinion about it.
You will see other people's opinions about Embedding and you will find out what the others say about it.

"Isometric embedding" redirects here. For related concepts for metric spaces, see isometry.
For other uses, see Embedding (disambiguation).

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 : XY. 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 : XY is an embedding is often indicated by the use of a "hooked arrow", thus: $f : X \hookrightarrow Y.$ On the other hand, this notation is sometimes reserved for inclusion maps.

Given X and Y, several different embeddings of X in Y may be possible. In many cases of interest there is a standard (or "canonical") embedding, like those of the natural numbers in the integers, the integers in the rational numbers, the rational numbers in the real numbers, and the real numbers in the complex numbers. In such cases it is common to identify the domain X with its image f(X) contained in Y, so that then XY.

In the image below, you can see a graph with the evolution of the times that people look for Embedding. And below it, you can see how many pieces of news have been created about Embedding in the last years.
Thanks to this graph, we can see the interest Embedding has and the evolution of its popularity.