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I got this homework problem: $X,Y$ finite CW-complexes with $\dim X=m$ and $Y$ is $n$-connected.

Prove that $\pi_k(map(X,Y))=0$ for all $k \le n-m$.

Thanks for the help!

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    I can't be more specific without doing your homework for you. I might be a little more inclined to help if you showed us all you'd put in some effort on the problem and explained what you have tried, what you know, and what you don't understand. It's the courteous thing to do.2012-12-13

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