| Abstract: |
| In this talk, we will discuss the topological structure of inverse limits of unimodal maps on self-similar dendrites.
In particular, for a fixed dendrite $D$ and unimodal map $f:D\to D$ under which $D$ is self-similar, we demonstrate that there is a countable collection $\{g_i:D\to D\}$ of unimodal maps under which $D$ is self-similar, which share the same critical point and Hubbard tree (the convex hull of the critical orbit in $D$) but have mutually non-homeomorphic inverse limits. |
|