Tuesday, 7 July 2015

real analysis - Is there a bijective, continuous mapping from $mathbb{R}$ to the closed interval $[0,1]$?

i can't find a bijective, continuous map from $\mathbb{R}$ to the closed interval $[0,1]$. Give an example.



If not bijective then what is the difference between cardinal no of $(0,1)$ and $[0,1]$ ?

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