Free algebras via monoidal envelopes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913088672890880 |
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| author | Blans, Max Linskens, Sil |
| author_facet | Blans, Max Linskens, Sil |
| contents | For any morphism of $\infty$-operads $\mathcal{P} \to \mathcal{O}$, we show that the free $\mathcal{O}$-algebra on a $\mathcal{P}$-algebra admits an explicit formula as the colimit over the $\mathcal{O}$-monoidal envelope of $\mathcal{P}$, providing a new and simple proof of the existence of relative free $\mathcal{O}$-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03150 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Free algebras via monoidal envelopes Blans, Max Linskens, Sil Category Theory Algebraic Topology For any morphism of $\infty$-operads $\mathcal{P} \to \mathcal{O}$, we show that the free $\mathcal{O}$-algebra on a $\mathcal{P}$-algebra admits an explicit formula as the colimit over the $\mathcal{O}$-monoidal envelope of $\mathcal{P}$, providing a new and simple proof of the existence of relative free $\mathcal{O}$-algebras. |
| title | Free algebras via monoidal envelopes |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2605.03150 |