Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective topological complexity of spaces with symmetries   We introduce a version of Farber's topological complexity suitable for
investigating mechanical systems whose configuration spaces exhibit symmetries.
Our invariant has vastly different properties to the previous approaches of
Colman-Grant, Dranishnikov and Lubawski-Marzantowicz. In particular, it is
bounded from above by Farber's topological complexity.

35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs