Cutting sets of continuous functions on the unit interval

Marek Balcerzak, Piotr Nowakowski, Michał Popławski

For a function $f:[0,1]\to \mathbb{R}$, we consider the set $E(f)$ of points at which $f$ cuts the real axis. Given $f:[0,1]\to \mathbb{R}$ and a Cantor set $D\subset [0,1]…