Cellular coalgebras over the Barratt-Eccles operad I

Published 23 Apr 2013 in math.AT | (1304.6328v4)

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.

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Authors (1)

Justin R. Smith

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