Cellular coalgebras over the Barratt-Eccles operad I
Algebraic Topology
2013-07-23 v4
Abstract
This paper considers a class of coalgebras over the Barratt-Eccles operad and shows that they classify Z-completions of pointed, reduced simplicial sets. As a consequence, they encapsulate the homotopy types of nilpotent simplicial sets. This result is a direct generalization of Quillen's result characterizing rational homotopy types via cocommutative coalgebras.
Cite
@article{arxiv.1304.6328,
title = {Cellular coalgebras over the Barratt-Eccles operad I},
author = {Justin R. Smith},
journal= {arXiv preprint arXiv:1304.6328},
year = {2013}
}
Comments
29 pages