it’s a continuous non-decreasing function from but constant a.e. (the complement of the Cantor set).
It’s parodoxical since it’s almost everywhere a constant and it’s continuous, but it still manages to rise from zero to one.
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Mar 07, 2025, 1 min read
it’s a continuous non-decreasing function from f:[0,1]→[0,1] but constant a.e. (the complement of the Cantor set).
It’s parodoxical since it’s almost everywhere a constant and it’s continuous, but it still manages to rise from zero to one.