The Dold-Kan Correspondence and Coalgebra Structures

Details The Dold-Kan Correspondence and Coalgebra Structures The Dold-Kan Correspondence and Coalgebra Structures

2011-10-24

arxiv.org/abs/1110.5193v1

Mathematics

Category Theory

15 pages

Scientific paper

By using the Dold-Kan correspondence we construct Quillen adjunctions between
the model categories of simplicial coalgebras and differential graded
coalgebras. We also investigate the question whether these Quillen adjunctions
can be improved to Quillen equivalences. We restrict to categories of connected
coalgebras and prove a Quillen equivalence between them.

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