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math.LO2026
Almost Kurepa Suslin trees and destructibility of the Guessing Model Property
Chris Lambie-Hanson, Šárka Stejskalová
Building on recent work of Krueger and the second author, we prove the consistency of the Guessing Model Principle at together with the existence of an almost Kurepa Suslin t…
math.LO2026
Higher walks and squares
Chris Lambie-Hanson, Pedro Marun
We continue the development of the theory of higher dimensional walks on ordinals began recently by Bergfalk. In particular we identify natural coherence conditions on higher dimen…
math.LO2026
Preservation of some topological properties under forcing
Chris Lambie-Hanson, Pedro Marun
We add to the theory of preservation of topological properties under forcing. In particular, we answer a question of Gilton and Holshouser in a strong sense, showing that if player…