One of the classical examples of dendrites with its set of
end points closed is the
*Gehman dendrite*
.
It can be described as a dendrite having the
set homeomorphic to the Cantor ternary set in
such that all ramification points of are of
order 3 (see [Gehman 1925, the example on p. 42]; see
also [Nikiel 1983, p. 422-423] for a geometrical
description; compare [Nikiel 1989, p. 82] and
[Nadler 1992, Example 10.39, p. 186]).
See Figure A.

The Gehman dendrite has the following properties.

- The set of all ramification points of is discrete.
- .
- Each dendrite with an uncountable set of its end points contains
a homeomorphic copy of the Gehman dendrite, [Arévalo et al. 2001, Proposition 6.8, p.
16].
- If a continuum contains the Gehman dendrite, then it does not have the periodic-recurrent property, [Charatonik 1998, Theorem 3.3, p. 136].
- A dendrite contains the Gehman dendrite if and only if does not have the periodic-recurrent property, [Illanes 1998, Theorem 2, p. 222].