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natural embedding

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  • Embedding — 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… …   Wikipedia

  • Center embedding — In linguistics, center embedding refers to the process of embedding a phrase in the middle of another phrase of the same type. This often leads to difficulty with parsing which would be difficult to explain on grammatical grounds alone. The most… …   Wikipedia

  • Segre embedding — In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product of two or more projective spaces as a projective variety. It is named after Corrado Segre. Contents 1 Definition 2 Discussion 3 Properties …   Wikipedia

  • Connes embedding problem — In von Neumann algebras, the Connes embedding problem or conjecture, due to Alain Connes, asks whether every type II1 factor on a separable Hilbert space can be embedded into the ultrapower of the hyperfinite type II1 factor by a free ultrafilter …   Wikipedia

  • Order-embedding — In mathematical order theory, an order embedding is a special kind of monotone function, which provides a way to include one partially ordered set into another. Like Galois connections, order embeddings constitute a notion which is strictly… …   Wikipedia

  • Skorokhod's embedding theorem — In mathematics and probability theory, Skorokhod s embedding theorem is either or both of two theorems that allow one to regard any suitable collection of random variables as a Wiener process (Brownian motion) evaluated at a collection of… …   Wikipedia

  • Yoneda embedding — noun Given category , a Yoneda embedding for this category is a functor such that for any object A in , and for any morphism in , where the natural transformation eta; has components . Then . Otherwise, it is a functor such that and for any in ,… …   Wiktionary

  • Grassmannian — In mathematics, a Grassmannian is a space which parameterizes all linear subspaces of a vector space V of a given dimension. For example, the Grassmannian Gr 1( V ) is the space of lines through the origin in V , so it is the same as the… …   Wikipedia

  • Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a …   Wikipedia

  • Continuously embedded — In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are almost equivalent , even though they are not both… …   Wikipedia

  • Per Enflo — Born 1944 Stockholm, Sweden …   Wikipedia

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