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math.LO2024
Ray inflations of -trees and ends of degree
Leandro Aurichi, Gabriel Fernandes, Paulo Magalhães Júnior
We prove the followings result for ray inflations of sparse graphs on -trees. First, let and be pruned -trees, let be a sparse -graph, and let be a…
math.LO2019★ 1 cited
Covering properties of -mad families
Leandro Aurichi, Lyubomyr Zdomskyy
We prove that CH implies the existence of a Cohen-indestructible mad family such that the Mathias forcing associated to its filter adds dominating reals, while $\mathfrak b=\mathfr…