1 citations · 1 across the 5 of their papers we have counts for
5 papers · 1 filter
Two-cardinal derived topologies, indescribability and Ramseyness
Brent Cody, Chris Lambie-Hanson, Jing Zhang
We introduce a natural two-cardinal version of Bagaria's sequence of derived topologies on ordinals. We prove that for our sequence of two-cardinal derived topologies, limit points…
Squares, ultrafilters and forcing axioms
Chris Lambie-Hanson, Assaf Rinot, Jing Zhang
We study relationships between various set theoretic compactness principles, focusing on the interplay between the three families of combinatorial objects or principles mentioned i…
Narrow systems revisited
Chris Lambie-Hanson
Motivated by two open questions about two-cardinal tree properties, we introduce and study generalized narrow system properties. The first of these questions asks whether the stron…
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…