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Reedy categories which encode the notion of category actions
University of California, Riverside, USA.
Stockholm University, Faculty of Science, Department of Mathematics. University of California, Riverside, USA.
2015 (English)In: Fundamenta Mathematicae, ISSN 0016-2736, E-ISSN 1730-6329, Vol. 228, 193-222 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2015. Vol. 228, 193-222 p.
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-111316DOI: 10.4064/fm228-3-1OAI: oai:DiVA.org:su-111316DiVA: diva2:775193
Available from: 2014-12-30 Created: 2014-12-30 Last updated: 2017-12-05Bibliographically approved

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Publisher's full texthttp://arxiv.org/abs/1207.3467

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