Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a problem of Juhasz and van Mill   A 27 years old and still open problem of Juhasz and van Mill asks whether
there exists a cardinal kappa such that every regular dense in itself countably
compact space has a dense in itself subset of cardinality at most kappa. We
give a negative answer for the analogous question where_regular_ is weakened
to_Hausdorff_, and_coutnably compact_ is strengthened to_sequentially compact_.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ