Is the following set a set of increasing absolutely continuous functions?
If $\mathcal{O}$ denote the collection of real-valued functions defined on $[0,1]$ that map every set of measure zero to a set of measure 0.
If so how to prove this?
Is the following set a set of increasing absolutely continuous functions?
If $\mathcal{O}$ denote the collection of real-valued functions defined on $[0,1]$ that map every set of measure zero to a set of measure 0.
If so how to prove this?
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