Model-categories of coalgebras over operads

Justin R. Smith

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.

Keywords: operads, cofree coalgebras

2000 MSC: 18G55, 55U40

Theory and Applications of Categories, Vol. 25, 2011, No. 8, pp 189-246.

Published 2011-03-17.

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