27 citations · 138 across the 42 of their papers we have counts for
4 papers · 1 filter
Weak square and stationary reflection
Gunter Fuchs, Assaf Rinot
It is well-known that the square principle entails the existence of a non-reflecting stationary subset of , whereas the weak square principle does no…
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…
Distributive Aronszajn trees
Ari Meir Brodsky, Assaf Rinot
Ben-David and Shelah proved that if is a singular strong-limit cardinal and , then entails the existence of a normal -distributive -Aronszajn tre…