From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909791949946880 |
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| author | Klang, Inbar Kuijper, Josefien Malkiewich, Cary Mehrle, David Wittich, Thor |
| author_facet | Klang, Inbar Kuijper, Josefien Malkiewich, Cary Mehrle, David Wittich, Thor |
| contents | We show that algebra objects in model categories can be transferred to algebra objects in $\infty$-categories, without any cofibrancy or fibrancy assumptions on the algebra. We furthermore show under some mild extra assumptions that this correspondence extends to commutative bialgebras and to commutative Hopf algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories Klang, Inbar Kuijper, Josefien Malkiewich, Cary Mehrle, David Wittich, Thor Category Theory Algebraic Topology We show that algebra objects in model categories can be transferred to algebra objects in $\infty$-categories, without any cofibrancy or fibrancy assumptions on the algebra. We furthermore show under some mild extra assumptions that this correspondence extends to commutative bialgebras and to commutative Hopf algebras. |
| title | From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2509.13602 |