Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determination of the multiplicative nilpotency of self-homotopy sets   The semigroup of the homotopy classes of the self-homotopy maps of a finite
complex which induce the trivial homomorphism on homotopy groups is nilpotent.
We determine the nilpotency of these semigroups of compact Lie groups and
finite Hopf spaces of rank 2. We also study the nilpotency of semigroups for
Lie groups of higher rank. Especially, we give Lie groups with the nilpotency
of the semigroups arbitrarily large.

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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys