
The
\label{Universal Dendrite D3}
\index{Universal Dendrite D3@Universal Dendrite $\bf D_3$}
{\it Universal Dendrite $\bf D_3$ }
 is obtained by the same procedure as the
\g{Wazewski Universal Dendrite} just instead of locally
connected fans we use simple triods.

We start with a \g{simple triod} $T$. Denote $T_1=T$. Now we
attach sufficiently small copies of $T$ (with one
\g{end point} as the attaching point) to all midpoints of all
maximal \g{free arc}s in $T_1$ and obtain a \g{dendrite}
$T_2$. Continuing in this fashion, we obtain the sequence of
\g{dendrite}s $\{T_n\}$ and the Universal Dendrite $\mathbb D_3$
is the closure of their union.

The Universal Dendrite ${\bf D_3}$ is \g{homogeneous} with
respect to the \g{monotone} mappings. For details see
\cite[p.362]{cc1997}.
