Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equvialence of colimits and 2-colimits   We compare the colimit and 2-colimit of strict 2-functors in the 2-category
of groupoids, over a certain type of posets. These posets are of special
importance, as they correspond to coverings of a topological space. The main
result of this paper gives conditions on the 2-functor $\mathfrak{F}$, for
which $\mathsf{colim}\mathfrak{F}\simeq2\mathsf{colim}\mathfrak{F}$. One can
easily see that any 2-functor $\mathfrak{F}$ can be deformed to a 2-functor
$\mathfrak{F}'$, which satisfied the conditions of the theorem.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph