Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactification of closed preordered spaces   A topological preordered space admits a Hausdorff closed preorder
compactification if and only if it is Tychonoff and the preorder is represented
by the family of continuous isotone functions. We construct the largest
Hausdorff closed preorder compactification for these spaces and clarify its
relation with Nachbin's compactification. Under local compactness the problem
of the existence and identification of the smallest Hausdorff closed preorder
compactification is considered.

26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an