In this chapter we apply the adjoint construction of model structures to the category of operads and to categories algebras over operads. For this purpose, we use the adjunction F : M _ O : U between operads and Σ∗-objects, respectively the adjunction P(-) : E _ PE : U between P-algebras and their underlying category E.
Keywords
- Model Category
- Forgetful Functor
- Homotopy Category
- Lift Property
- Symmetric Monoidal Category
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© 2009 Springer-Verlag Berlin Heidelberg
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Fresse, B. (2009). The homotopy of algebras over operads. In: Modules over Operads and Functors. Lecture Notes in Mathematics(), vol 1967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89056-0_12
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DOI: https://doi.org/10.1007/978-3-540-89056-0_12
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