9 papers
Simultaneously nonvanishing higher derived limits
Matteo Casarosa, Chris Lambie-Hanson
The derived functors of the inverse limit find many applications in algebra and topology. In particular, the vanishing of certain derived limits , pa…
Generalized almost disjoint families and injective Banach spaces
Chris Lambie-Hanson, David Schrittesser
A fundamental open problem in the homological theory of Banach spaces is the calculation of the injective dimension of the Banach space . We make a contribution to the study o…
Almost Kurepa Suslin trees and destructibility of the Guessing Model Property
Chris Lambie-Hanson, Šárka Stejskalová
Building on recent work of Krueger and the second author, we prove the consistency of the Guessing Model Principle at together with the existence of an almost Kurepa Suslin…
Strongly increasing sequences
Paul B. Larson, Chris Lambie-Hanson
Using a variation of Woodin's forcing, we force over a model of the Axiom of Determinacy to produce a model of ZFC containing a very strongly increasing…
Higher walks and squares
Chris Lambie-Hanson, Pedro Marun
We continue the development of the theory of higher dimensional walks on ordinals began recently by Bergfalk. In particular we identify natural coherence conditions on higher dimen…
Preservation of some topological properties under forcing
Chris Lambie-Hanson, Pedro Marun
We add to the theory of preservation of topological properties under forcing. In particular, we answer a question of Gilton and Holshouser in a strong sense, showing that if player…