Friday, December 1, 2017

real analysis - Is there a bijective map from the open interval $(0,1)$ to $mathbb{R}^2$?

I couldn't find a bijective map from the open interval $(0,1)$ to $\mathbb{R}^2$. Is there any example?

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...