The concept of the Gehman dendrite has been generalized in [Arévalo et al. 2001, Section 4, p. 4-10] as follows.

- For each natural number there exists topologically unique
dendrite dendrite such that
- for each point ;
- is homeomorphic to the Cantor ternary set.

(Note that is just the Gehman dendrite .)

- There exists a
*dendrite*such that- is finite for each point ;
- is homeomorphic to the Cantor ternary set;
- for each natural number and for each maximal arc contained in there is a point such that .

See Figure A.

The dendrites and have the following universality properties.

- For each natural number the dendrite is universal for the class of all dendrites such that and that for each point .
- Each dendrite is universal for the class of all dendrites with the closed set of end points.