Reedy categories which encode the notion of category actions

Julia E. Bergner*, Philip Hackney

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)193-222
Number of pages30
JournalFundamenta Mathematicae
Issue number3
Publication statusPublished - 2015
Externally publishedYes


  • Reedy categories
  • group actions
  • (infinity, 1)-categories
  • (infinity, 1)-operads

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