Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic functors between presheaf categories over groupoids   The paper studies analytic functors between presheaf categories. Generalising
results of A. Joyal and of R. Hasegawa for analytic endofunctors on the
category of sets, we give two characterisations of analytic functors between
presheaf categories over groupoids: (i) as functors preserving filtered
colimits, quasi-pullbacks, and cofiltered limits; and (ii) as functors
preserving filtered colimits and wide quasi-pullbacks. The development
establishes that small groupoids, analytic functors between their presheaf
categories, and quasi-cartesian natural transformations between them form a
2-category.

1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat