Silvia Spataru
Abstract
We construct a strictly increasing function $f:[0,1] \to [0,1]$ such that $f(0)=1,f$ is absolutely continuous, and $f^-1$ is not absolutely continuous. Functions of this type are very scarce in the literature.
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We construct a strictly increasing function $f:[0,1] \to [0,1]$ such that $f(0)=1,f$ is absolutely continuous, and $f^-1$ is not absolutely continuous. Functions of this type are very scarce in the literature.
Key concepts: Absolute continuity, Mathematics, Continuous function (set theory), Function (biology), Mathematical analysis, Biology, Evolutionary biology