Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Foliations with Morse singularities   We study codimension one smooth foliations with Morse type singularities on
closed ma-nifolds. We obtain a description of the manifold in case the number
of centers in greater then the number of saddles. This result relies on and
extends previous results of Reeb (for foliations having only centers) and
Ells-Kuiper (for manifolds admitting Morse functions with three singularities).

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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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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: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ex