4 citations · 6 across the 2 of their papers we have counts for
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An introduction to higher walks
Jeffrey Bergfalk
The following is an introduction to the study of higher walks, by which we mean a family of higher-dimensional extensions of Todorcevic's method of walks on the ordinals. After a b…
Simutaneously vanishing higher derived limits without large cardinals
Jeffrey Bergfalk, Michael Hrušák, Chris Lambie-Hanson
A question dating to Sibe Mardešić and Andrei Prasolov's 1988 work Strong homology is not additive, and motivating a considerable amount of set theoretic work in the ensuing years,…
Ramsey theory for monochromatically well-connected subsets
Jeffrey Bergfalk
We define well-connectedness, an order-theoretic notion of largeness whose associated partition relations formally weaken those of the classical Ramsey relations…
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…