The Dold-Kan Correspondence and Coalgebra Structures
arXiv:1110.5193 · doi:10.1007/s40062-014-0096-1
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.
24 pages. Accepted by the Journal of Homotopy and Related Structures. Online 28 November 2014