Let $M$ and $N$ be manifolds and let $q_0$ be a point in $N$. Prove that the inclusion map $i_{q_0} : M \to M×N : p \mapsto (p,q_0)$, is $C^\infty$.
The smoothness of an inclusion map
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manifolds
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2What is C¥? Is it $C^{\infty}$? – 2012-10-24
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0Let M and N be manifolds and let q0 be a point in N. Prove that the inclusion map iq0 : M → M×N, iq0 (p) = (p,q0), is c^∞. – 2012-10-24