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arXiv · 2506.14185

All you need is $\mathbf{A}_\kappa$

Nathaniel Bannister
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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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Nathaniel Bannister. 2025-06-17. All you need is $\mathbf{A}_\kappa$. https://arxiv.org/abs/2506.14185

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