Our next purpose is to study the homotopy of functors associated to modules over operads. To deal with homotopy problems in a general setting, we use the language of model categories. The aim of this part is to recall applications of model categories to operads and algebras over operads. In this chapter, we review the definition of a model category in the context of symmetric monoidal categories over a base and we study the homotopy properties of functors S(M) : E → E associated to Σ∗- objects.
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© 2009 Springer-Verlag Berlin Heidelberg
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Fresse, B. (2009). Symmetric monoidal model categories for 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_11
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DOI: https://doi.org/10.1007/978-3-540-89056-0_11
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