Cochains and Homotopy Type
Algebraic Topology
2007-10-01 v1
Abstract
Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E-infinity algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E-infinity algebras is faithful but not full.
Cite
@article{arxiv.math/0311016,
title = {Cochains and Homotopy Type},
author = {Michael A. Mandell},
journal= {arXiv preprint arXiv:math/0311016},
year = {2007}
}