English

Properties of Bourbaki's Function

Functional Analysis 2016-02-04 v5 Dynamical Systems

Abstract

We examine Bourbaki's function, an easily-constructed continuous but nowhere-differentiable function, and explore properties including functional identities, the antiderivative, and the box and Hausdorff dimensions of the graph.

Keywords

Cite

@article{arxiv.1009.2817,
  title  = {Properties of Bourbaki's Function},
  author = {Joey McCollum},
  journal= {arXiv preprint arXiv:1009.2817},
  year   = {2016}
}

Comments

23 pages, 11 figures

R2 v1 2026-06-21T16:14:01.851Z