On the set of subarcs in some non-postrcritically finite dendrites

Nikolai Abrosimov, Marina Chanchieva, Andrey Tetenov

We construct a family of non-PCF dendrites $K$ in a plane, such that in each of them all subarcs have the same Hausdorff dimension $s$, while the set of $s$-dimensional Hausdorff m…