An earlier version of this article had a error in the proof that monotone epimorphisms of finite trees amalgamated. In this talk we will show an example of finite trees that do not amalgamate with monotone epimorphisms. Further, we show how we can use a subfamilies of the family of monotone epimorphisms, that we call simple-monotone and simple-monotone, to obtain results similar to those in the original paper. We also show the new result that the topological realization of the projective Fraïssé limit of the family of finite trees with simple-confluent epimorphisms is the Mohler-Nikiel dendroid.

This is joint work with W.J. Charatonik, A. Kwiatkowska, and S. Yang.