Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On zero-dimensionality and the connected component of locally
  pseudocompact groups   A topological group is locally pseudocompact if it contains a non-empty open
set with pseudocompact closure. In this note, we prove that if G is a group
with the property that every closed subgroup of G is locally pseudocompact,
then G_0 is dense in the component of the completion of G, and G/G_0 is
zero-dimensional. We also provide examples of hereditarily disconnected
pseudocompact groups with strong minimality properties of arbitrarily large
dimension, and thus show that G/G_0 may fail to be zero-dimensional even for
totally minimal pseudocompact groups.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom