Аннотация:
We construct a family ${\mathbf F}$ of non-PCF dendrites $K$ in a plane, such that for any dendrite $K\in {\mathbf F}$ all its subarcs have the same Hausdorff dimension $s$, while the set of $s$-dimensional Hausdorff measures of subarcs connecting the given point and a self-similar Cantor subset in $K$ is a Cantor discontinuum.
Ключевые слова:self-similar dendrite, ramification point, Hausdorff dimension, postcritically finite set.