A Model Structure for Enriched Coloured Operads

Abstract

We prove that, under certain conditions, the model structure on a monoidal model category $\mathcal{V}$ can be transferred to a model structure on the category of $\mathcal{V}$-enriched coloured (symmetric) operads. As a particular case we recover the known model structure on simplicial operads.

arXiv comment44 pages, Preliminary version, comments are welcome

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Cited by in corpus (9)

• Admissibility and rectification of colored symmetric operads
• Derived coisotropic structures I: affine case
• On the unit of a monoidal model category
• Morita homotopy theory for $(\infty ,1)$-categories and $\infty$-operads
• Homotopy theory of equivariant operads with fixed colors
• On the homotopy theory of equivariant colored operads
• Colored DG-operads and homotopy adjunction for DG-categories
• Cubical model categories and quasi-categories
• A folk Quillen model structure for operads