Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological Dimensions of Extriangulated Categories and Recollements   In this paper, let $(\mathcal{A},\mathcal{B},\mathcal{C})$ be a recollement
of extriangulated categories. We introduce the global dimension and extension
dimension of extriangulated categories, and give some upper bounds of global
dimensions (resp. extension dimensions) of the categories involved in
$(\mathcal{A},\mathcal{B},\mathcal{C})$, which give a simultaneous
generalization of some results in the recollement of abelian categories and
triangulated categories.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org