Abstract
In Section 9.5 we introduced the covariant model structure on a slice category dSets/B, for a fixed dendroidal set B. This model category represents the homotopy theory of ‘B-algebras’, as we will see in Section 13.5. The first aim of this chapter is to establish the analogous structure for the category of dendroidal spaces over a fixed dendroidal space B. We will do this in Section 13.1 and demonstrate that the covariant model structure on dSpaces/B is Quillen equivalent to the covariant model structure on dSets/B0 in the case when B is a complete dendroidal Segal space (cf. Proposition 13.7).
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Heuts, G., Moerdijk, I. (2022). Left Fibrations and the Covariant Model. 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_13
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DOI: https://doi.org/10.1007/978-3-031-10447-3_13
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