Cofinality via Weighted Colimits
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911321625198592 |
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| author | Keidar, Shai Yanovski, Lior |
| author_facet | Keidar, Shai Yanovski, Lior |
| contents | We prove a refinement of Quillen's Theorem A, providing necessary and sufficient conditions for a functor to be cofinal with respect to diagrams valued in a fixed $\infty$-category. We deduce this from a general duality phenomenon for weighted colimits, which is of independent interest. As a sample application, due to Betts and Dan-Cohen, we describe a simplified formula for the free $\mathbb{E}_\infty$-algebra on an $\mathbb{E}_0$-algebra in a stable rational $\infty$-category . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cofinality via Weighted Colimits Keidar, Shai Yanovski, Lior Category Theory Algebraic Topology We prove a refinement of Quillen's Theorem A, providing necessary and sufficient conditions for a functor to be cofinal with respect to diagrams valued in a fixed $\infty$-category. We deduce this from a general duality phenomenon for weighted colimits, which is of independent interest. As a sample application, due to Betts and Dan-Cohen, we describe a simplified formula for the free $\mathbb{E}_\infty$-algebra on an $\mathbb{E}_0$-algebra in a stable rational $\infty$-category . |
| title | Cofinality via Weighted Colimits |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2511.13536 |