Manifolds Part 2

Question 01 / 21

Manifolds Part 2

Problem
Problem 1.57 Prove that the $C^{\infty}$ map $$ \Psi: \mathbb{R} \rightarrow \mathbb{R}^{2}, \quad t \mapsto(x, y)=\left(t^{2}, t^{3}\right) $$ (see Fig. 1.18) is not an immersion.
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Source

PM. Gadea et al., Analysis and Algebra on Differentiable Manifolds,. Problem Books in Mathematics

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