The standard universal dendrites have the following properties.

- For each is universal in the class of all dendrites for which the order of their ramification points is less than or equal to , see e.g. [Menger 1932, Chapter 10, § 6, p. 322].
- If with , then there exists an open mapping of onto , [Chaaratonik 1980, Theorem 2, p. 492].
- Among all standard universal dendrites only and are homeomorphic with all their open images, [Chaaratonik 1980, Corollary, p. 493].
- For each a monotone surjection of onto itself is a near homeomorphism if and only if , [Charatonik 1991, Corollary 5.5, p. 178].
- Any two standard universal dendrites and of some orders are monotonely equivalent, [Charatonik 1991, Corollary 6.6, p. 180].
- For each the dendrite is monotonely homogeneous [Charatonik 1991, Theorem 7.1, p. 186].

Other mapping properties of the standard universal dendrites can be found e.g. in [Chaaratonik 1980], [Charatonik 1991], [Charatonik 1995], [Charatonik et al. 1997a], [Charatonik et al. 1998], [Charatonik et al. 1994] and [Charatonik W.J. et al. 1994].

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