Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular chains and the fundamental group   We show that the natural algebraic structure of the singular chains on a path
connected topological space determines the fundamental group functorially.
Moreover, we describe a notion of weak equivalence for the relevant algebraic
structure under which the data of the fundamental group is preserved.

13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an