Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosheaves   The categories pCS(X,Pro(k)) of precosheaves and CS(X,Pro(k)) of cosheaves on
a small Grothendieck site X, with values in the category Pro(k) of
pro-k-modules, are constructed. It is proved that pCS(X,Pro(k)) satisfies the
AB4 and AB5* axioms, while CS(X,Pro(k)) satisfies AB3 and AB5*. Homology
theories for cosheaves and precosheaves, based on quasi-projective resolutions,
are constructed and investigated.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn