Whitney Immersion Theorem
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This theorem requires a proof..
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Theorem
Let $m > 1$ be a natural number.
Every smooth $m$-dimensional manifold can be immersed in Euclidean $\left({2m-1}\right)$-space.
Corollary
Let $m \in \N$.
Every smooth $m$-dimensional manifold can be immersed in the $\paren {2 m - 1}$-dimensional sphere.
Proof
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Source of Name
This entry was named for Hassler Whitney.