The universal simplicial bundle is a simplicial group
Category Theory
2013-02-25 v3 Algebraic Topology
Abstract
The classical universal bundle functor W:sGrp(C) \to sSet(C) for simplicial groups in a category C with finite products lifts to a monad on sGrp(C). This result extends to simplicial algebras for any Lawvere theory containing that of groups.
Cite
@article{arxiv.1204.4886,
title = {The universal simplicial bundle is a simplicial group},
author = {David M. Roberts},
journal= {arXiv preprint arXiv:1204.4886},
year = {2013}
}
Comments
5 pages. Main result dates from 2007. Original submission was titled 'W is a monad'. Updated July 2012 to include comments about simplicial monoids