Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A variant of a Dwyer-Kan theorem for model categories   If all objects of a simplicial combinatorial model category \cat A are
cofibrant, then there exists the homotopy model structure on the category of
small functors $\sS^{\cat A}$, where the fibrant objects are homotopy functors,
i.e., functors preserving weak equivalences. Otherwise, we argue that the
bifibrant-projective model structure is an adequate substitution of the
homotopy model structure. Next, we use this concept to generalize the Dwyer-Kan
theorem about the Quillen equivalence of the categories of homotopy functors.
We include an application to Goodwillie calculus, and we prove that the
category of small linear functors from simplicial sets to simplicial sets is
Quillen equivalent to the category of small linear functors from topological
spaces to simplicial sets.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess