3 papers
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…
math.LO2025
A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees
John Krueger, Šárka Stejskalová
Assuming the negation of Chang's conjecture, there is a c.c.c. forcing which adds a strongly non-saturated Aronszajn tree. Using a Mahlo cardinal, we construct a model in which the…
math.LO2024
Kurepa trees, continuous images, and perfect set properties
Chris Lambie-Hanson, Šárka Stejskalová
Building upon work of Lücke and Schlicht, we study (higher) Kurepa trees through the lens of higher descriptive set theory, focusing in particular on various perfect set propertie…