Conditions for the difference set of a central Cantor set to be a Cantorval

Piotr Nowakowski, Tomasz Filipczak

Let $C(\lambda )\subset [0,1]$ denote the central Cantor set generated by a sequence $\lambda =\left({\lambda }_n\right)\in {\left(0,\frac{1}{2}\right)}^{\mathbb{N}}$. By the known trichot…