6 problems

Let $G_n^+$ be the rearrangement group associated with the oriented edge replacement system $\mathcal{D}_n^+$, whose elements preserve the circular ordering of the branches at ever…

Let the dendrite-Thompson group be the finitely generated Thompson-like group of homeomorphisms of the circle preserving the lamination induced from the Julia set for the complex m…

Let $f0 f0$?

Local-dendrite conjecture. A local dendrite belongs to $\mathcal{X}$ if and only if it is completely regular, with all points of finite order.

Let $X$ be a dendrite, let $f:X\to X$ be a continuous dendrite map, and let $2^f:2^X\to 2^X$ be the induced map on the hyperspace of nonempty compact connected subsets of $X$. A po…

Let $P$ be a compact $n$-polyhedron. A quasi-embedding of $P$ in a product of $n$ dendrites means the approximation notion used in the source, namely the existence of arbitrarily f…