Embedding set

The embedding set mathematically stands for:

Whitney's embedding theorem : every n-dimensional differentiable manifold has an embedding in ${\ displaystyle \ mathbb {R} ^ {2n}}$
Mitchell Embedding Theorem : Statement about Abelian Categories
Sobolew's embedding theorem : embedding the Sobolew functions in the continuous functions

Skorochod's embedding theorem : Every real random variable of finite variance can be embedded in the Wiener process

Nash's embedding theorem: embedding Riemannian manifolds in the for suitable

{\ displaystyle \ mathbb {R} ^ {n}}

{\ displaystyle n}

Embedding theorem by Arens-Eells : Embedding metric spaces in complex standardized spaces