Reedy categories and the $Θ$-construction

Details Reedy categories and the $Θ$-construction Reedy categories and the $Θ$-construction

2011-10-05

arxiv.org/abs/1110.1066v1

Mathematics

Algebraic Topology

15 pages

Scientific paper

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.

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