Logic Seminar
Aleksandra Kwiatkowska Muenster University
Projective Fraïssé limits of trees with confluent epimorphisms
Friday, February 21, 2025 - 2:55pm
Malott 205/Zoom
We investigate Fraïssé limits of families of finite rooted trees with epimorphisms built by performing elementary operations on rooted trees such as splitting an edge, adding an edge, or doubling a component above a vertex. As topological realizations we obtain dendroids which are not embeddable in the plane, and every point is either an endpoint or a ramification point. One of the examples is the Mohler-Nikiel universal smooth dendroid, and another one is a continuum, which as far as we know, has not yet been studied in the literature. This is joint work with Charatonik, Roe, and Yang.