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Preprint
Cellular coalgebras over the Barratt-Eccles operad I
arXiv (Cornell University)
22 Jul 2013
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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Details
- Title
- Cellular coalgebras over the Barratt-Eccles operad I
- Creators
- Justin R Smith
- Publication Details
- arXiv (Cornell University)
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- [Retired Faculty]
- Other Identifier
- 991021880188004721