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math.AC2025
The classification problem for extensions of torsion-free abelian groups, I
Martino Lupini
Let be countable abelian groups. In this paper we determine the complexity of classifying extensions by , in the cases when is torsion-free and is a -group,…
math.AC2025
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…