Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The topological complexity and the homotopy cofiber of the diagonal map
  for non-orientable surfaces   We show that the Lusternik-Schnirelmann category of the homotopy cofiber of
the diagonal map for non-orientable surfaces equals three. Also, we prove that
the topological complexity of non-orientable surfaces of genus $>3$ is four.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess