Smale-Hirsch Theorem
The space of immersions of a manifold in another manifold is homotopically equivalent to the space of bundle injections from the tangent space of the first to the tangent bundle of the second.
See also
Homotopy, Immersion, Manifold, Tangent Bundle, Tangent SpaceExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Smale-Hirsch Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Smale-HirschTheorem.html