16 citations · 77 across the 36 of their papers we have counts for
4 papers · 1 filter
Polish space partition principles and the Halpern-Läuchli theorem
Chris Lambie-Hanson, Andy Zucker
The Halpern-Läuchli theorem, a combinatorial result about trees, admits an elegant proof due to Harrington using ideas from forcing. In an attempt to distill the combinatorial esse…
Strong tree properties, Kurepa trees, and guessing models
Chris Lambie-Hanson, Šárka Stejskalová
We investigate the generalized tree properties and guessing model properties introduced by Weiß and Viale, as well as natural weakenings thereof, studying the relationships among t…
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…
A Galvin-Hajnal theorem for generalized cardinal characteristics
Chris Lambie-Hanson
We prove that a variety of generalized cardinal characteristics, including meeting numbers, the reaping number, and the dominating number, satisfy an analogue of the Galvin-Hajnal…