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All you need is $\mathbf{A}_κ$ (2506.14185v1)
Published 17 Jun 2025 in math.LO
Abstract: We show that the vanishing of higher derived limits of the system $\mathbf{A}_\kappa$ implies the additivity of strong homology on the class of locally compact metric spaces of weight at most $\kappa$, thereby establishing a converse to a theorem of Marde\v{s}i\'c and Prasolov.
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