The Dold-Kan Correspondence and Coalgebra Structures
Category Theory
2015-06-02 v2
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.
Cite
@article{arxiv.1110.5193,
title = {The Dold-Kan Correspondence and Coalgebra Structures},
author = {Hermann Soré},
journal= {arXiv preprint arXiv:1110.5193},
year = {2015}
}
Comments
24 pages. Accepted by the Journal of Homotopy and Related Structures. Online 28 November 2014