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occurred Apr 29, 2019 at 22:18

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edited Apr 29, 2019 at 18:01

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Is every dg algebra-coalgebra the colimit of its finite dimensional dg subcoalgebras-subcoalgebras?

homological-algebra at.algebraic-topology kt.k-theory-and-homology model-categories coalgebras dg-categories

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asked Apr 29, 2019 at 17:24

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Is every dg algebra 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 coalgebra is $\mathbb{Z}$-graded?.

Thanks.

homological-algebra model-categories coalgebras dg-categories