Abstract
We show that there exists a derivative \(f\colon [0,1]\to[0,1]\) such that the graph of \(f\circ f\) is dense in \([0,1]^2\), so not a \(G_\delta\)-set. In particular, \(f\circ f\) is everywhere discontinuous, so not of Baire class 1, and hence it is not a derivative. %neither of Baire class 1 nor a derivative.
Citation
Andrew M. Bruckner. Krzysztof Chris Ciesielski. "On the Minkowski Sum of Two Curves." Real Anal. Exchange 43 (1) 235 - 238, 2018. https://doi.org/10.14321/realanalexch.43.1.0235
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