# embedding

(redirected from Isometric embedding)
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Related to Isometric embedding: Imbedding

## embedding

[em′bed·iŋ]
(mathematics)
An injective homomorphism between two algebraic systems of the same type.

## embedding

(mathematics)
One instance of some mathematical object contained with in another instance, e.g. a group which is a subgroup.

## embedding

(theory)
(domain theory) A complete partial order F in [X -> Y] is an embedding if

(1) For all x1, x2 in X, x1 <= x2 <=> F x1 <= F x2 and

(2) For all y in Y, x | F x <= y is directed.

("<=" is written in LaTeX as \sqsubseteq).
References in periodicals archive ?
6 Any separable metric space admits an isometric embedding into Q.
Of course, abstract infinite dimensional manifolds appear intimidating and it is only natural to seek a "reassuring" result, namely an infinite dimensional counterpart, if not of Nash's Isometric Embedding Theorem, then at least of Whitney's Topological Theorem (see, e.
Keywords Embedding of Riemannian spacetimes, local and isometric embedding.
Isometric embedding of Riemannian manifolds in Euclidean spaces.

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