J. Bergner, and C. Rezk. (2011)cite http://arxiv.org/abs/1110.1066arxiv:1110.1066Comment: 15 pages; final version to appear in Math. Z.
Abstract
We use the notion of multi-Reedy category to prove that, if $C$ is a
Reedy category, then $\Theta C$ is also a Reedy category. This result
gives a new proof that the categories $\Theta_n$ are Reedy categories. We then
define elegant Reedy categories, for which we prove that the Reedy and
injective model structures coincide.
Description
[1110.1066] Reedy categories and the $\Theta$-construction
%0 Generic
%1 bergner2011reedy
%A Bergner, Julia E.
%A Rezk, Charles
%D 2011
%K Reedy category
%T Reedy categories and the $\Theta$-construction
%U http://arxiv.org/abs/1110.1066
%X We use the notion of multi-Reedy category to prove that, if $C$ is a
Reedy category, then $\Theta C$ is also a Reedy category. This result
gives a new proof that the categories $\Theta_n$ are Reedy categories. We then
define elegant Reedy categories, for which we prove that the Reedy and
injective model structures coincide.
@misc{bergner2011reedy,
abstract = {We use the notion of multi-Reedy category to prove that, if $\mathcal C$ is a
Reedy category, then $\Theta \mathcal C$ is also a Reedy category. This result
gives a new proof that the categories $\Theta_n$ are Reedy categories. We then
define elegant Reedy categories, for which we prove that the Reedy and
injective model structures coincide.},
added-at = {2015-03-10T07:09:21.000+0100},
author = {Bergner, Julia E. and Rezk, Charles},
biburl = {https://www.bibsonomy.org/bibtex/22978c70ca788dc5ac3cb4d19066d57df/t.uemura},
description = {[1110.1066] Reedy categories and the $\Theta$-construction},
interhash = {a3372707cad18b9be61a3b61adc053eb},
intrahash = {2978c70ca788dc5ac3cb4d19066d57df},
keywords = {Reedy category},
note = {cite \href{http://arxiv.org/abs/1110.1066}{arxiv:1110.1066}Comment: 15 pages; final version to appear in Math. Z},
timestamp = {2015-03-10T07:09:21.000+0100},
title = {Reedy categories and the $\Theta$-construction},
url = {http://arxiv.org/abs/1110.1066},
year = 2011
}