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arXiv · 1110.5193

The Dold-Kan Correspondence and Coalgebra Structures

Hermann Soré
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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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Hermann Soré. 2015-06-01. The Dold-Kan Correspondence and Coalgebra Structures. https://doi.org/10.1007/s40062-014-0096-1

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