Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cofree coalgebras over operads   This paper explicitely constructs cofree coalgebras over operads in the
category of DG-modules. Special cases are considered in which the general
expression simplifies (such as the pointed, irreducible case). It is shown that
the existence of an operad-action on a coalgebra implies a ``generalized
coassociativity'' that facilitates the construction. Some areas of application
are discussed.

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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat