1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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 properties…
Guessing models, trees, and cardinal arithmetic
Chris Lambie-Hanson, Šárka Stejskalová
Since being isolated by Viale and Weiss in 2009, the Guessing Model Property has emerged as a particularly prominent and powerful consequence of the Proper Forcing Axiom. In this p…
Indestructibility of some compactness principles over models of PFA
Radek Honzik, Chris Lambie-Hanson, Šárka Stejskalová
We show that (Proper Forcing Axiom) implies that adding any number of Cohen subsets of will not add an -Aronszajn tree or a weak -Kurepa tree, and more…