Ray inflations of ${\omega }_1$-trees and ends of degree ${\aleph }_1$

Leandro Aurichi, Gabriel Fernandes, Paulo Magalhães Júnior

We prove the followings result for ray inflations of sparse graphs on ${\omega }_1$-trees. First, let $T$ and $S$ be pruned ${\omega }_1$-trees, let $G_T$ be a sparse $T$-graph, and let $G_S$ be a…