Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral chains and Bousfield-Kan completion   Working in the Arone-Ching framework for homotopical descent, it follows that
the Bousfield-Kan completion map with respect to integral homology is the unit
of a derived adjunction. We prove that this derived adjunction, comparing
spaces with coalgebra complexes over the associated integral homology comonad,
via integral chains, can be turned into a derived equivalence by replacing
spaces with the full subcategory of simply connected spaces. In particular,
this provides an integral chains characterization of the homotopy type of
simply connected spaces.

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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex