Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on existence of exhaustion functions and its applications   In this note, we prove an existence result on exhaustion functions adapting
the method by L.-F. Tam. Then we apply it to prove short-time existence of
Ricci flow and study Yau's uniformization conjecture using similar method as
Fei He and Lee-Tam.

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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin