Definition:Immersion
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Definition
An immersion is a map $f: X \to Y$ from one smooth manifold $X$ to another $Y$ such that:
- $d f_x: T_x \left({X}\right) \to T_{f \left({x}\right)} \left({Y}\right)$
is injective.
In particular: Link to a page explaining the meanings of $T_x \left({X}\right)$ and $T_{f \left({x}\right)} \left({Y}\right)$..
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