Let . At the midpoint of each maximal free arc contained in (obviously the arc is a straight line segment) attach a sufficiently small copy of so that is the only common point of and of the attached copy. Denote by the union of and of all attached copies. Thus is a dendrite. At the midpoint of each maximal free arc contained in we perform the same construction, i.e., we attach a sufficiently small copy of so that is the only common point of and of the attached copy. Denote by the union of and of all attached copies. Thus is a dendrite. Continuing in this way we obtain an increasing sequence of dendrites . The construction can be done in the plane in such a way that the limit continuum defined by

For another construction of (using inverse limits) see [Nadler 1992, 10.37, p. 181-185].

The following properties of are known.

- is universal in the class of all dendrites (see e.g. [Nadler 1992, 10.37, p. 181-185]).
- is embeddable in the plane (in fact, it is constructed in the plane).
- Each open image of is homeomorphic to (see [Chaaratonik 1980, Theorem 1, p. 490]).
- is homogeneous with respect to monotone mappings, [Charatonik 1991, Theorem 7.1, p. 186].

For other mapping properties of , in particular ones related to the action of the group of autohomeomorphisms on , see [Charatonik 1995].

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