12 citations · 22 across the 13 of their papers we have counts for
4 papers · 1 filter
Definable (co)homology, pro-torus rigidity, and (co)homological classification
Jeffrey Bergfalk, Martino Lupini, Aristotelis Panagiotopoulos
We show that the classical homology theory of Steenrod may be enriched with descriptive set-theoretic information. We prove that the resulting definable homology theory provides a…
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…
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…