Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hofmann-Mislove Theorem for Scott open sets   We consider the intersection map on the family of non-empty
$\omega$-Scott-open sets of the lattice of opens of a topological space. We
prove that in a certain class of topological spaces the intersection map forms
a continuous retraction onto the space of countably compact subsets of the
space equipped with (the sequentialisation of) the upper Vietoris topology.
This class consists of all sequential spaces which are sequentially Hausdorff.

1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int