16 citations · 77 across the 36 of their papers we have counts for
5 papers · 2 filters
Squares, ascent paths, and chain conditions
Chris Lambie-Hanson, Philipp Lücke
With the help of various square principles, we obtain results concerning the consistency strength of several statements about trees containing ascent paths, special trees, and stro…
Reflection on the coloring and chromatic numbers
Chris Lambie-Hanson, Assaf Rinot
We prove that reflection of the coloring number of graphs is consistent with non-reflection of the chromatic number. Moreover, it is proved that incompactness for the chromatic num…
A forcing axiom deciding the generalized Souslin Hypothesis
Chris Lambie-Hanson, Assaf Rinot
We derive a forcing axiom from the conjunction of square and diamond, and present a few applications, primary among them being the existence of super-Souslin trees. It follows that…
Pseudo-Prikry sequences
Chris Lambie-Hanson
We generalize results of Gitik, Dzamonja-Shelah, and Magidor-Sinapova on the existence of pseudo-Prikry sequences, which are sequences that approximate the behavior of the generic…
Partitioning subsets of generalised scattered orders
Chris Lambie-Hanson, Thilo Weinert
In 1956, 48 years after Hausdorff provided a comprehensive account on ordered sets and defined the notion of a scattered order, Erdős and Rado founded the partition calculus in a s…