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Reedy categories which encode the notion of category actions

Tom 228 / 2015

Julia E. Bergner, Philip Hackney Fundamenta Mathematicae 228 (2015), 193-222 MSC: Primary 55P48; Secondary 20J99, 22F05, 55U10, 18D50, 18G30, 18G55. DOI: 10.4064/fm228-3-1

Streszczenie

We study a certain type of action of categories on categories and on operads. Using the structure of the categories $\Delta $ and $\Omega $ 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.

Autorzy

  • Julia E. BergnerDepartment of Mathematics
    University of California, Riverside
    Riverside, CA 92521, U.S.A.
    e-mail
  • Philip HackneyDepartment of Mathematics
    University of California, Riverside
    Riverside, CA 92521, U.S.A.
    e-mail

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