At this point it might be worthy to note the Whitney Embedding Theorem[1], which states: > Every smooth n-dimensional manifold can be embedded into R^{2n}. [1

At this point it might be worthy to note the Whitney Embedding Theorem[1], which states: > Every smooth n-dimensional manifold can be embedded into R^{2n}. [1] https://en.wikipedia.org/wiki/Whitney_embedding_theorem https://en.wikipedia.org/wiki/Whitney_embedding_theorem