The Takagi function: a survey

@article{Allaart2011TheTF,
  title={The Takagi function: a survey},
  author={Pieter C. Allaart and Kiko Kawamura},
  journal={Real analysis exchange},
  year={2011},
  volume={37},
  pages={1-54}
}
More than a century has passed since Takagi [75] published his simple example of a continuous but nowhere differentiable function, yet Takagi’s function – as it is now commonly referred to despite repeated rediscovery by mathematicians in the West – continues to inspire, fascinate and puzzle researchers as never before. For this reason, and also because we have noticed that many aspects of the Takagi function continue to be rediscovered with alarming frequency, we feel the time has come for a… 

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