%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 }