Rectifying Partial Algebras Over Operads of Complexes
Algebraic Topology
2011-02-11 v2 Geometric Topology
Abstract
In this paper we prove that, in the category of chain complexes, partial algebras can be functorially replaced by quasi-isomorphic algebras. In particular, partial algebras contain all of the important homological and homotopical information that genuine algebras do. Applying this result to McClure's partial algebra in [6] shows that the chains of a PL-manifold are quasi-isomorphic to an E-infinity algebra.
Cite
@article{arxiv.math/0410405,
title = {Rectifying Partial Algebras Over Operads of Complexes},
author = {Scott O. Wilson},
journal= {arXiv preprint arXiv:math/0410405},
year = {2011}
}
Comments
largely rewritten