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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.14185 |
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| _version_ | 1866909814994501632 |
|---|---|
| author | Bannister, Nathaniel |
| author_facet | Bannister, Nathaniel |
| contents | We show that the vanishing of higher derived limits of the system $\mathbf{A}_κ$ implies the additivity of strong homology on the class of locally compact metric spaces of weight at most $κ$, thereby establishing a converse to a theorem of Mardešić and Prasolov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14185 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All you need is $\mathbf{A}_κ$ Bannister, Nathaniel Logic We show that the vanishing of higher derived limits of the system $\mathbf{A}_κ$ implies the additivity of strong homology on the class of locally compact metric spaces of weight at most $κ$, thereby establishing a converse to a theorem of Mardešić and Prasolov. |
| title | All you need is $\mathbf{A}_κ$ |
| topic | Logic |
| url | https://arxiv.org/abs/2506.14185 |