Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bicategorical homotopy fiber sequences   Small B\'{e}nabou's bicategories and, in particular, Mac Lane's monoidal
categories, have well-understood classifying spaces, which give geometric
meaning to their cells. This paper contains some contributions to the study of
the relationship between bicategories and the homotopy types of their
classifying spaces. Mainly, generalizations are given of Quillen's Theorems A
and B to lax functors between bicategories.

18
The categories of this paper are: econ
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc