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A differential graded category is a category enriched over complexes of modules for some commutative ring.
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Is every dg-coalgebra the colimit of its finite dimensional dg-subcoalgebras?
I saw this result in A Model Category Structure for Differential Graded Coalgebras by Getzler-Goerss, but when the coalgebra is non-negatively graded, is this property also satisfied when the dg coalg …