A note on actions of a monoidal category.
Janelidze, G., Kelly, G.M. (2001)
Theory and Applications of Categories [electronic only]
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A note on actions of a monoidal category.
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We study a certain type of action of categories on categories and on operads. Using the structure of the categories Δ and Ω governing category and operad structures, respectively, we define categories which instead encode the structure of a category acting on a category, or a category acting on an operad. We prove that the former has the structure of an elegant Reedy category, whereas the latter has the structure of a generalized Reedy category. In particular, this approach gives a new...
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