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The Dold-Kan Correspondence and Coalgebra Structures (1110.5193v2)
Published 24 Oct 2011 in math.CT
Abstract: By using the Dold-Kan correspondence we construct a Quillen adjunction between the model categories of non-cocommutative coassociative simplicial and differential graded coalgebras over a field. We restrict to categories of connected coalgebras and prove a Quillen equivalence between them.
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