Left Fibrations and the Covariant Model

Autor: Gijs Heuts, Ieke Moerdijk
Rok vydání: 2022
Zdroj: Simplicial and Dendroidal Homotopy Theory ISBN: 9783031104466
DOI: 10.1007/978-3-031-10447-3_13
Popis: 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).
Databáze: OpenAIRE