Reedy categories and the $\Theta$-construction
Algebraic Topology
2012-12-20 v2 Category Theory
Abstract
We use the notion of multi-Reedy category to prove that, if is a Reedy category, then is also a Reedy category. This result gives a new proof that the categories are Reedy categories. We then define elegant Reedy categories, for which we prove that the Reedy and injective model structures coincide.
Cite
@article{arxiv.1110.1066,
title = {Reedy categories and the $\Theta$-construction},
author = {Julia E. Bergner and Charles Rezk},
journal= {arXiv preprint arXiv:1110.1066},
year = {2012}
}
Comments
15 pages; final version to appear in Math. Z