Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cross-sections of Milnor fibrations and Motion planning   Consider a fibration \[p:E\to S^{p-1}\] with fiber $F$. We have the following
natural question: Under what conditions does this fibration admit a
cross-section? Our purpose is to discuss this problem when the fibration $p$ is
the Milnor fibration $f_{\mid}:f^{-1}(S^{p-1}_{\delta})\cap D^{n}_{\epsilon}\to
S^{p-1}_{\delta}$ with Milnor fiber $F_f$ and the Milnor fibration of
arrangements $Q:\mathcal{M}(\mathcal{A})\to \mathbb{C}^\ast$ with fiber
$F=F(\mathcal{A})$. Furthermore, we use our results to study the tasking
planning problem for the Milnor fibration as a work map and we give the tasking
algorithms.

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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg