Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The category of cellular resolutions   Cellular resolutions is a well studied topic on the level of single
resolutions and certain specific families of cellular resolutions. One question
coming out of the work on families is to understand the structure of cellular
resolutions more generally. We give a starting point to understanding higher
level structures by defining the category of cellular resolutions. In this
paper we study the properties of this category. The main results are in lifting
homotopy colimits from topology and Morse theory on cellular resolution being
compatible with the category.

14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex