Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $P,M$ and $N$ are smooth manifolds and let $F:P\times M \to N$ be a smooth map. We know its associated map $\tilde F:P \to C^\infty(M,N)$ given by $p \mapsto F_p(m)$ is continuous if and only if $F$ is continuous whenever we equip $C^\infty(M,N)$ with the weak topology. However this is not true in genreal if $C^\infty$ comes with the the strong (Whitney) topology; I feel the counterexample should not be that hard but I am unable to find it. Does anybody know such a function? Thanks in advance.

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.