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arXiv · 2301.08650

Segalification and the Boardman-Vogt tensor product

Shaul Barkan·Jan Steinebrunner
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Abstract

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.

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Shaul Barkan, Jan Steinebrunner. 2023-01-20. Segalification and the Boardman-Vogt tensor product. https://doi.org/10.2140/agt.2025.25.5439

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