210 citations · 464 across the 57 of their papers we have counts for
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The definable content of homological invariants II: Čech cohomology and homotopy classification
Jeffrey Bergfalk, Martino Lupini, Aristotelis Panagiotopoulos
This is the second installment in a series of papers applying descriptive set theoretic techniques to both analyze and enrich classical functors from homological algebra and algebr…
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,…
Complexity classes of Polishable subgroups
Martino Lupini
In this paper we further develop the theory of canonical approximations of Polishable subgroups of Polish groups, building on previous work of Solecki and Farah--Solecki. In partic…
(Looking For) The Heart of Abelian Polish Groups
Martino Lupini
We prove that the category of abelian groups with a Polish cover introduced in collaboration with Bergfalk and Panagiotopoulos is the left heart of (the derived categ…