5 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…
Higher limits of wider systems
Jeffrey Bergfalk, Matteo Casarosa
Write for what might be described as the most elementary nontrivial inverse system of abelian groups indexed by the functions from the cardinal to the set of n…
Projective length, phantom extensions, and the structure of flat modules
Matteo Casarosa, Martino Lupini
We consider the natural generalization of the notion of the order of a phantom map from the topological setting to triangulated categories. When applied to the derived category of…
Homological algebra of pro-Lie Polish abelian groups
Matteo Casarosa, Alessandro Codenotti, Martino Lupini
In this paper, we initiate the study of pro-Lie Polish abelian groups from the perspective of homological algebra. We extend to this context the type-decomposition of locally compa…
Nonvanishing derived limits without scales
Matteo Casarosa
The derived functors of the inverse limit are widely studied for their topological applications, among which are some repercussions on the additivity of strong homology. S…