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Reedy categories which encode the notion of category actions

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Bergner J., Hackney P.

Fundamenta Mathematicae

2015

tom 228

nr 3

193-222

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 way to regard group actions on categories and on operads.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Bergner J.

1 Hackney P.

1 2015

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Reedy categories which encode the notion of category actions