Change search
ReferencesLink to record
Permanent link

Direct link
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
URN: urn:nbn:se:su:diva-111316DOI: 10.4064/fm228-3-1OAI: diva2:775193
Available from: 2014-12-30 Created: 2014-12-30 Last updated: 2015-01-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Hackney, Philip
By organisation
Department of Mathematics
In the same journal
Fundamenta Mathematicae
Other Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 38 hits
ReferencesLink to record
Permanent link

Direct link