Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrization of 3-dimensional orbifolds   The purpose of this article is to give a proof of the Orbifold Theorem
announced by Thurston in late 1981: If $O$ is a compact, connected, orientable,
irreducible and topologically atoroidal 3-orbifold with non-empty ramification
locus, then $O$ is geometric. As a corollary, any smooth orientation preserving
non-free finite group action on $S^3$ is conjugate to an orthogonal action.

21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin