Abstract
In this final chapter we fulfil one of the main promises of this book, namely we prove that the homotopy theory of ∞-operads is equivalent to that of simplicial (or topological) operads. To prepare for this, Sections 14.1 and 14.2 establish some rather classical material on the homotopy theory of simplicial categories, most of it going back to the work of Dwyer and Kan. Then in Section 14.3 we establish a model structure on the category of simplicial operads in which the weak equivalences are the fully faithful and essentially surjective maps (in an appropriate interpretation of those terms).
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Heuts, G., Moerdijk, I. (2022). Simplicial Operads and ∞-Operads. In: Simplicial and Dendroidal Homotopy Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 75. Springer, Cham. https://doi.org/10.1007/978-3-031-10447-3_14
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DOI: https://doi.org/10.1007/978-3-031-10447-3_14
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Publisher Name: Springer, Cham
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