Geodesic
Model-categories of coalgebras over operads
Theory and applications of categories, Tome 25 (2011), pp. 189-246
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This paper constructs model structures on the categories of coalgebras and pointed irreducible coalgebras over an operad whose components are projective, finitely generated in each dimension, and satisfy a condition that allows one to take tensor products with a unit interval. The underlying chain-complex is assumed to be unbounded and the results for bounded coalgebras over an operad are derived from the unbounded case.

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Classification : 18G55, 55U40
Keywords: operads, cofree coalgebras 
@article{TAC_2011_25_a7,
     author = {Justin R. Smith},
     title = {Model-categories of coalgebras over operads},
     journal = {Theory and applications of categories},
     pages = {189--246},
     year = {2011},
     volume = {25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a7/}
}
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Justin R. Smith. Model-categories of coalgebras over operads. Theory and applications of categories, Tome 25 (2011), pp. 189-246. http://geodesic.mathdoc.fr/item/TAC_2011_25_a7/