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Encyclopedia > Embedded

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Embedding (373 words)
In mathematics, an embedding is one instance of some mathematical object contained within another instance, such as a group that is a subgroup.
In general topology: an embedding is a homeomorphism onto its image.
In other words, embedding is diffeomorphism to its image, in particular the image of embedding must be a submanifold.
Embedding - definition of Embedding in Encyclopedia (498 words)
In mathematics, an embedding (or imbedding) is one instance of some mathematical object contained within another instance, such as a group that is a subgroup.
An isometric embedding is a smooth embedding f : M → N which preserves the metric in the sense that g is equal to the pullback of h by f, i.e.
In field theory, an embedding of a field E in a field F is a ring homomorphism σ : E → F.
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