Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On topological complexity and LS-category   We present some results supporting the Iwase-Sakai conjecture about
coincidence of the topological complexity $TC(X)$ and monoidal topological
complexity $TC^M(X)$. Using these results we provide lower and upper bounds for
the topological complexity of the wedge $X\vee Y$. We use these bounds to give
a counterexample to the conjecture asserting that $TC(X')\le TC(X)$ for any
covering map $p:X'\to X$.
  We discuss a possible reduction of the monoidal topological complexity to the
LS-category. Also we apply the LS-category to give a short proof of the
Arnold-Kuiper theorem.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas