In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck. The theorem is often given as this special case: If P {\displaystyle P} is an injective polynomial function from an n {\displaystyle n} -dimensional complex vector space to itself then P {\displaystyle P} is bijective.
In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck. The theorem is often given as this special case: If P {\displaystyle P} is an injective polynomial function from an n {\displaystyle n} -dimensional complex vector space to itself then P {\displaystyle P} is bijective.
Source: Wikipedia "Ax–Grothendieck theorem" · CC BY-SA 4.0
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