Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial approach to the exponents of Moore spaces   In this article, we give a combinatorial approach to the exponents of the
Moore spaces. Our result states that the projection of the $p^{r+1}$-th power
map of the loop space of the $(2n+1)$-dimensional mod $p^r$ Moore space to its
atomic piece containing the bottom cell $T^{2n+1}\{p^r\}$ is null homotopic for
$n>1$, $p>3$ and $r>1$. This result strengthens the classical result that
$\Omega T^{2n+1}\{p^r\}$ has an exponent $p^{r+1}$.

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The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio