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What's a simple example of a bijection of \(\mathbb R \rightarrow \mathbb R^2\)? How about for \(\mathbb R \rightarrow \mathbb R^n\)?
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http://en.wikipedia.org/wiki/Space-filling_curve http://en.wikipedia.org/wiki/Hilbert_curve http://en.wikipedia.org/wiki/Cantor%E2%80%93Bernstein%E2%80%93Schroeder_theorem might be helpful to you ... though i don't understand them .. :P
I know about space-filling curves at least... though I'm looking for something more algebraic and quantitative over qualitative. Thanks, though. :-)
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