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Homotopy theory of coalgebras over operads
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Homotopy theory of coalgebras over operads

arXiv (Cornell University)
23 May 2003
url
https://arxiv.org/abs/math/0305317View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Mathematics - Algebraic Topology Mathematics - Category Theory
Theory and Applications of Categories, Vol. 25, No. 8, 2011, pp. 189--246 This paper constructs model structures on the categories of coalgebras and pointed irreducible coalgebras over an operad. 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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