Projective Fra\'{i}ss\'{e} limits and generalized Wa\.{z}ewski dendrites

Autor:	Codenotti, Alessandro, Kwiatkowska, Aleksandra
Rok vydání:	2022
Předmět:	Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	We continue the study of projective Fra\"{i}ss\'{e} limits of trees initiated by Charatonik and Roe and we construct many generalized Wa\.{z}ewski dendrites as the topological realization of a projective Fra\"{i}ss\'{e} limit of families of finite trees with (weakly) coherent epimorphisms. Moreover we use the categorical approach to Fra\"{i}ss\'{e} limits developed by Kubi\'{s} to construct all generalized Wa\.{z}ewski dendrites as topological realizations of Fra\"{i}ss\'{e} limits of suitable categories of finite structures. As an application we recover a homogeneity result for countable dense sets of endpoints in generalized Wa\.{z}ewski dendrites. Comment: accepted version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.06899 Zobrazit plný text záznamu View this record from Arxiv