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Symmetric monoidal model categories for operads

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1967)

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.

Keywords

  • Model Category
  • Forgetful Functor
  • Lift Property
  • Symmetric Monoidal Category
  • Symmetric Spectrum

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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