Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotency, almost nonnegative curvature and the gradient flow   We show that almost nonnegatively curved m-dimensional manifolds are, up to
finite cover, nilpotent spaces in the sense of homotopy theory and have
C(m)-nilpotent fundamental groups. We also show that up to a finite cover
almost nonnegatively curved manifolds are fiber bundles with simply connected
fibers over nilmanifolds.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol