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The Dold-Kan Correspondence and Coalgebra Structures

Published 24 Oct 2011 in math.CT | (1110.5193v2)

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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