Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the topological complexity of $S^3/Q_8$   Topological complexity was first introduced in 2003 by Michael Farber as a
homotopy invariant for a connected topological space X, denoted by TC(X).
Although the invariant is defined in terms of elementary homotopy theory using
well-known Serre path fibration, not many examples are known to be determined
concretely by now. In 2010, Iwase and Sakai showed that the topological
complexity of a space is a fibrewise version of a L-S category for a fibrewise
space over the space. In this paper, we determine the topological complexity of
$S^3/Q_8$ using a method produced from the fibrewise view point.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph