Lebl-Basic-Analysis-I · Problem 5.1.14

The Riemann Integral

Mathematics · riemann-integrability

Problem

(Challenging) Construct functions

f

and

g

, where

f : [0,1] \to \mathbb{R}

is Riemann integrable,

g : [0,1] \to [0,1]

is one-to-one and onto, and such that the composition

f \circ g

is not Riemann integrable.