Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Report on Hausdorff Compactifications of $\mathbb{R}$   The goal of this report is to investigate the variety of Hausdorff
compactifications of $\mathbb{R}$. The Alexandroff one-point compactification,
the two-point compactification, and the Stone-Cech compactification are all
clearly different. The ultimate aim is to show that there are in fact
uncountably many. An intermediate aim is to exhibit one compactification of
$\mathbb{R}$ different from all the compactifications already mentioned.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom