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math.CT2026
The Exact Completion of the Category of Polish Groups
Martino Lupini
This article shows that the exact completion as a regular category of the homological category of Polish groups and continuous group homomorphisms is the category of groups with a…
math.CT2026
Polarities, voltages, and capacitors: a categorical approach to hulls, envelopes, and completions
Ivan Di Liberti, Martino Lupini
This article provides a general framework in the context of category theory where one can recognize as particular instances of the same abstract construction several notions of com…