Reedy categories which encode the notion of category actions

Julia E. Bergner, and Philip Hackney. "Reedy categories which encode the notion of category actions." Fundamenta Mathematicae 228.3 (2015): 193-222. <http://eudml.org/doc/282637>.

@article{JuliaE2015,
abstract = {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.},
author = {Julia E. Bergner, Philip Hackney},
journal = {Fundamenta Mathematicae},
keywords = {group action; category action; Reedy category; generalized Reedy category},
language = {eng},
number = {3},
pages = {193-222},
title = {Reedy categories which encode the notion of category actions},
url = {http://eudml.org/doc/282637},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Julia E. Bergner
AU - Philip Hackney
TI - Reedy categories which encode the notion of category actions
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 3
SP - 193
EP - 222
AB - 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.
LA - eng
KW - group action; category action; Reedy category; generalized Reedy category
UR - http://eudml.org/doc/282637
ER -