Abstract
In this chapter we will construct several model structures on the category of dendroidal sets. For the different model structures, the fibrant objects and fibrations will be the different types of dendroidal Kan complexes and dendroidal fibrations introduced in Chapter 6. For example, we will construct the operadic model structure, for which the fibrant objects will be the ∞-operads and the fibrations between fibrant objects will be the J-fibrations, so that this model structures describes the homotopy theory of ∞-operads.
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Heuts, G., Moerdijk, I. (2022). Three Model Structures on the Category of Dendroidal Sets. 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_9
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DOI: https://doi.org/10.1007/978-3-031-10447-3_9
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-031-10447-3
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