Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy equivalence of topological categories   We prove a version of Quillen's Theorem A for topological categories, and use
it to show that under some mild conditions a full and essentially surjective
functor between topological categories induces a homotopy equivalence of
classifying spaces. Thus we can associate homotopy types to a wide class of
topological stacks of categories.

7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio