I'm lost! My book of topology says that its possible to construct a (continuous!) function f:[0,1] -> R^n such that the image is(adsbygoogle = window.adsbygoogle || []).push({});

a ball {x: |x|<=1}

I can't imagine how is it any possible to do such things. The book doesn't give any example or prove of it. It's just a comment. Any ideas? I can't solve this even for n=2.

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# How can images dimention be larger than the domains?

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