Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functors between Reedy model categories of diagrams   If $D$ is a Reedy category and $M$ is a model category, the category $M^{D}$
of $D$-diagrams in $M$ is a model category under the Reedy model category
structure. If $C \to D$ is a Reedy functor between Reedy categories, then there
is an induced functor of diagram categories $M^{D} \to M^{C}$. Our main result
is a characterization of the Reedy functors $C \to D$ that induce right or left
Quillen functors $M^{D} \to M^{C}$ for every model category $M$. We apply these
results to various situations, and in particular show that certain important
subdiagrams of a fibrant multicosimplicial object are fibrant.

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci