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Where can I find the Theorem of invariance of the dimension with diffeomorphisms? And about Between Homeomorphism?

I also want to know about the Hausdorff dimension invariance what is deeper!

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    What do you exactly mean by invariance of dimension?2012-03-18
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    Well we have diffeomorphism between two open sets of $R^n$ and $R^m$ then we must have $n=m$. The same for homeomorphism! About Hausdorff dimension it is more subtle!2012-03-18
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    Do you want proof? Or what?http://en.wikipedia.org/wiki/Invariance_of_domain2012-03-18
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    Well, I want a reference for the result with a proof would be nice!2012-03-18

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