Whitney Immersion Theorem
Contents
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 $\left({2m-1}\right)$-dimensional sphere.
Proof
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Source of Name
This entry was named for Hassler Whitney.
