16 citations · 77 across the 36 of their papers we have counts for
5 papers · 1 filter
Knaster and friends II: The C-sequence number
Chris Lambie-Hanson, Assaf Rinot
Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of…
Simultaneously vanishing higher derived limits
Jeffrey Bergfalk, Chris Lambie-Hanson
In 1988, Sibe Mardešić and Andrei Prasolov isolated an inverse system with the property that the additivity of strong homology on any class of spaces which includes th…
On the growth rate of chromatic numbers of finite subgraphs
Chris Lambie-Hanson
We prove that, for every function , there is a graph with uncountable chromatic number such that, for every with $k \geq…
Forcing a -like principle to hold at a weakly compact cardinal
Brent Cody, Victoria Gitman, Chris Lambie-Hanson
Hellsten \cite{MR2026390} proved that when is -indescribable, the \emph{-club} subsets of provide a filter base for the -indescribability ideal, and hence…
The Cohomology of the Ordinals I: Basic Theory and Consistency Results
Jeffrey Bergfalk, Chris Lambie-Hanson
In this paper, the first in a projected two-part series, we describe an organizing framework for the study of infinitary combinatorics. This framework is Čech cohomology. We show i…