Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The fundamental group of the harmonic archipelago   The harmonic archipelago HA is obtained by attaching a large pinched annulus
to every pair of consecutive loops of the Hawaiian earring. We clarify the
fundamental group pi1(HA) as a quotient of the Hawaiian earring group, provide
a precise description of the kernel, show that both pi1(HA) and the kernel are
uncountable, and that pi1(HA) has the indiscrete topology.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol