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Manifolds are generally considered objects of themselves, and it may be difficult to embed then in higher dimensional objects. This is especially the case for t
by DevelopingElk 1y ago
Manifolds are generally considered objects of themselves, and it may be difficult to embed then in higher dimensional objects. This is especially the case for tricky manifolds like those with a Kervaire invariant of 1.
- red_trumpet 1y agoAt 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