Segalification and the Boardman-Vogt tensor product
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911333703745536 |
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| author | Barkan, Shaul Steinebrunner, Jan |
| author_facet | Barkan, Shaul Steinebrunner, Jan |
| contents | We develop an analog of Dugger and Spivak's necklace formula providing an explicit description of the Segal space generated by an arbitrary simplicial space. We apply this to obtain a formula for the Segalification of $n$-fold simplicial spaces, a new proof of the invariance of right fibrations, and a new construction of the Boardman-Vogt tensor product of $\infty$-operads, for which we also derive an explicit formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_08650 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Segalification and the Boardman-Vogt tensor product Barkan, Shaul Steinebrunner, Jan Algebraic Topology Category Theory 18N60, 18N65, 18N70 We develop an analog of Dugger and Spivak's necklace formula providing an explicit description of the Segal space generated by an arbitrary simplicial space. We apply this to obtain a formula for the Segalification of $n$-fold simplicial spaces, a new proof of the invariance of right fibrations, and a new construction of the Boardman-Vogt tensor product of $\infty$-operads, for which we also derive an explicit formula. |
| title | Segalification and the Boardman-Vogt tensor product |
| topic | Algebraic Topology Category Theory 18N60, 18N65, 18N70 |
| url | https://arxiv.org/abs/2301.08650 |