Wednesday, 24 April 2019

real analysis - Does there exist a function $f:[0,1] to[0,1]$ such its graph is dense in $[0,1]times[0,1]$?

Does there exist a function $f:[0,1]\to [0,1]$ such that the graph of $f$ is dense in $[0,1]\times[0,1]$?



Not necessarily continuous.

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