论文标题
投射的fraïssé限制和广义的waêski树突
Projective Fraïssé limits and generalized Ważewski dendrites
论文作者
论文摘要
我们继续研究Charatonik和Roe发起的树木的投射限制，并构建了许多广义的wa ewski dendrites，作为对有限树家庭的拓扑限制（弱）相干性表达的拓扑限制。此外，我们使用Kubiś开发的Fraïssé限制的分类方法来构建所有广义的Wa ewski dendrites，作为合适类别有限结构的Fraïssé限制的拓扑实现。作为应用程序，我们恢复了广义waêski树突中的可数密集端点集的同质性结果。
We continue the study of projective Fraïssé limits of trees initiated by Charatonik and Roe and we construct many generalized Ważewski dendrites as the topological realization of a projective Fraïssé limit of families of finite trees with (weakly) coherent epimorphisms. Moreover we use the categorical approach to Fraïssé limits developed by Kubiś to construct all generalized Ważewski dendrites as topological realizations of Fraïssé limits of suitable categories of finite structures. As an application we recover a homogeneity result for countable dense sets of endpoints in generalized Ważewski dendrites.
